Josep Batle Vallespir

Assistant Professor (Professor Ajudant Doctor)

Email Google Scholar Orcid Scopus ResearcheGate Personal web page

Josep did his M.S. Physics at the Universitat de les Illes Balears, where he also obtained his Ph.D. degree in Physics. Upon completion of his PhD, with the thesis entitled “Characterization of Quantum Entangled States and Information Measures” download, and under the supervision of the late Montserrat Casas, he had to leave academia and pursue a career as civil servant in 2005. During several years he has been teaching mathematics at high school, whilst carrying out freelance research, before coming back to research and lecturing at different universities (he taught many courses on quantum mechanics and quantum information from 2007 to 2012 at the Physics Department at the UIB as “Professor Associat”, and at a private American university in Kuwait from 2013 to 2015). He had participated in over five research projects before 2013. He has been shortlisted and/or declined offers in several Middle East and South American institutions. Currently he is assistant professor at the Universitat de les Illes Balears.

Josep’s primary source of interest is quantum information and quantum sensing, although he has interests in BEC, solitons and discrete mathematics.

Quantum information science is devoted to unraveling the fundamental principles of quantum mechanics—entanglement, nonlocality, and coherence—to harness their power for computation, communication, and sensing. It bridges abstract theory with transformative applications, from secure cryptographic protocols to quantum-enhanced measurements and simulations of complex systems. Aligned with this vision, Josep’s work pursues a multifaceted exploration of:

  • Quantum correlations and entanglement
  • Foundational and device-independent tests
  • Quantum algorithms and sensing
  • Quantum communication and security
  • Classical-quantum interfaces

The last years have been actively devoted to employ public quantum computer platforms for research, such as IBM Quantum, IQM or IonQ. Josep has worked thoroughly with a research group based in Warsaw, Poland. The design and implementations of quantum mechanics tests and sensing witnesses has been the driven force of his latest publications.

List of most recent publications:

  1. Batle, J., et al., “Convex Regular Polychora Nanocrystals with Dipole–Dipole Interactions,” Nanomaterials 15, 771 (2025). https://doi.org/10.3390/nano15100771
  2. Batle, J., et al., “Solitons in Bose-Einstein condensates with attractive self-interaction on a Möbius strip,” Phys. Rev. A 111, 023325 (2025). https://doi.org/10.1103/PhysRevA.111.023325
  3. Batle, J., et al., “Dipolar Brush Polymers: A Numerical Study of the Force Exerted onto a Penetrating Colloidal Particle Under an External Field,” Polymers 17, 366 (2025). https://doi.org/10.3390/polym17030366
  4. Batle, J., et al., “Thermodynamics of free bosons and fermions in the hyperball,” Proc. R. Soc. A 481, 20240354 (2025). https://doi.org/10.1098/rspa.2024.0354
  5. Batle, J., et al., “Spatial Entanglement Between Electrons Confined to Rings,” Symmetry 16, 1662 (2024). https://doi.org/10.3390/sym16121662
  6. Batle, J., et al., “Effective Piecewise Mass Distributions for Optimal Energy Eigenvalues of a Particle in Low-Dimensional Heterojunctions,” Nanomaterials 14, 1850 (2024). https://doi.org/10.3390/nano14221850
  7. Batle, J., et al., “Model and Energy Bounds for a Two-Dimensional System of Electrons Localized in Concentric Rings,” Nanomaterials 14, 1615 (2024). https://doi.org/10.3390/nano14201615
  8. Batle, J., et al., “Depletion Interactions at Interfaces Induced by Ferromagnetic Colloidal Polymers,” Polymers 16, 820 (2024). https://doi.org/10.3390/polym16060820
  9. Batle, J., et al., “Quantum dimension witness with a single repeated operation,” Phys. Rev. A 109, L020201 (2024). https://doi.org/10.1103/PhysRevA.109.L020201
  10. Batle, J., et al., “Null dimension witness based on single measurements,” Phys. Rev. A 108, 062202 (2023). https://doi.org/10.1103/PhysRevA.108.062202
  11. Batle, J., et al., “Correspondence between Electrostatics and Contact Mechanics with Further Results in Equilibrium Charge Distributions,” Annalen der Physik 535, 2300269 (2023). https://doi.org/10.1002/andp.202300269
  12. Batle, J., et al., “Optimal discrimination between real and complex quantum theories,” Phys. Rev. A 106, 042207 (2022). https://doi.org/10.1103/PhysRevA.106.042207
  13. Batle, J., et al., “Stability limits for modes held in alternating trapping-expulsive potentials,” Phys. Rev. E 106, 014201 (2022). https://doi.org/10.1103/PhysRevE.106.014201
  14. Batle, J., et al., “Optimal classical and quantum real and complex dimension witness,” Phys. Rev. A 105, 042433 (2022). https://doi.org/10.1103/PhysRevA.105.042433
  15. Batle, J., et al., “Detailed Study of an Ultra-Small Pauli Crystal,” Few-Body Syst. 63, 1730 (2022). https://doi.org/10.1007/s00601-022-01730-8
  16. Batle, J., arXiv:2202.03197 (2022). https://doi.org/10.48550/arXiv.2202.03197
  17. Batle, J., arXiv:2206.02212 (2022). https://doi.org/10.48550/arXiv.2206.02212
  18. Batle, J., arXiv:2206.05003 (2022). https://doi.org/10.48550/arXiv.2206.05003
  19. Batle, J., et al., “Combinatorial characterization of a certain class of words and a conjectured connection with general subclasses of phylogenetic tree-child networks,” Sci. Rep. 11, 1166 (2021). https://doi.org/10.1038/s41598-021-01166-w
  20. Batle, J., et al., “Classical Analog of Quantum Light Cones in 1D and 2D Dipole Systems,” Annalen der Physik 533, 2100276 (2021). https://doi.org/10.1002/andp.202100276
  21. Batle, J., et al., “A two-dimensional electron gas suspended above a neutralizing background,” Ann. Phys. 433, 168468 (2021). https://doi.org/10.1016/j.aop.2021.168468
  22. Batle, J., et al., “Topological structures, spontaneous symmetry breaking and energy spectra in dipole hexagonal lattices,” Sci. Rep. 11, 83359 (2021). https://doi.org/10.1038/s41598-021-83359-x
  23. Batle, J., et al., “Dipole-dipole minimum energy configuration for Platonic, Archimedean and Catalan solid structures,” Phys. Lett. A 384, 126916 (2020). https://doi.org/10.1016/j.physleta.2020.126916
  24. Batle, J., et al., “Minimum and maximum energy for crystals of magnetic dipoles,” Sci. Rep. 10, 76029 (2020). https://doi.org/10.1038/s41598-020-76029-x
  25. Batle, J., et al., “Minimum Energy and Total Dipole Moment,” Annalen der Physik 532, 2000106 (2020). https://doi.org/10.1002/andp.202000106
  26. Batle, J., et al., “Structure‐Induced Phase Transitions in Classic Systems of Dipoles: Unequal Kagome, Truncated Square, and Prismatic Pentagonal Lattices,” Annalen der Physik 532, 2000118 (2020). https://doi.org/10.1002/andp.202000118
  27. Batle, J., et al., “Minimum energy configurations for interacting dipoles in simple hypercubic lattices,” Results Phys. 17, 103114 (2020). https://doi.org/10.1016/j.rinp.2020.103114
  28. Batle, J., et al., “Secure Image Processing and Transmission Schema in Cluster-Based Wireless Sensor Network,” Sensor Technology (2020). https://doi.org/10.4018/978-1-7998-2454-1.ch033

Education

Ph.D. Physics | Universitat de les Illes Balears
M.S. Physics | Universitat de les Illes Balears


Josep’s Group Publications

No matching items

References

[1]
O. Ciftja, J. Batle, and M. A. Hafez, Convex regular polychora nanocrystals with dipole–dipole interactions, Nanomaterials 15, (2025).
[2]
H. Luo, G. Li, F. Dou, B. Liu, B. A. Malomed, J. Batle, and Y. Li, Solitons in bose-einstein condensates with attractive self-interaction on a möbius strip, Physical Review A 111, (2025).
[3]
A. Fuster-Aparisi, A. Cerrato, J. Batle, and J. J. Cerdà, Dipolar brush polymers: A numerical study of the force exerted onto a penetrating colloidal particle under an external field, Polymers 17, (2025).
[4]
J. Batle, T. Białecki, T. Rybotycki, J. Tworzydlo, and A. Bednorz, Efficient discrimination between real and complex quantum theories, Quantum 9, (2025).
[5]
T. Rybotycki, T. Białecki, J. Batle, and A. Bednorz, Device-independent dimension leakage null test on qubits at low operational cost, Advanced Quantum Technologies 8, (2025).
[6]
T. Białecki, T. Rybotycki, J. Batle, J. Tworzydlo, and A. Bednorz, Precise certification of a qubit space, EPJ Quantum Technology 11, (2024).
[7]
O. Ciftja, J. Batle, M. A. Abdel-Aty, M. A. Hafez, and S. Alkhazaleh, Model and energy bounds for a two-dimensional system of electrons localized in concentric rings, Nanomaterials 14, (2024).
[8]
J. Batle and O. Ciftja, Zigzag phase transition of electrons confined within a thin annulus region, Physics Letters, Section A: General, Atomic and Solid State Physics 517, (2024).
[9]
J. J. Cerdà, J. Batle, C. Bona-Casas, J. Massó, and T. M. Sintes, Depletion interactions at interfaces induced by ferromagnetic colloidal polymers, Polymers 16, (2024).
[10]
J. Batle, O. V. Vlasiuk, and O. Ciftja, Correspondence between electrostatics and contact mechanics with further results in equilibrium charge distributions, Annalen Der Physik 535, (2023).
[11]
A. Bednorz and J. Batle, Optimal discrimination between real and complex quantum theories, Physical Review A 106, (2022).
[12]
Z. Luo, Y. Liu, Y. Li, J. Batle, and B. A. Malomed, Stability limits for modes held in alternating trapping-expulsive potentials, Physical Review E 106, (2022).
[13]
J. Batle and A. Bednorz, Optimal classical and quantum real and complex dimension witness, Physical Review A 105, (2022).
[14]
O. Ciftja and J. Batle, Detailed study of an ultra-small pauli crystal, Few-Body Systems 63, (2022).
[15]
M. Pons-Viver and J. Batle, Combinatorial characterization of a certain class of words and a conjectured connection with general subclasses of phylogenetic tree-child networks, Scientific Reports 11, (2021).
[16]
J. Batle, J. J. Cerdà, and M. Pons-Viver, Classical analog of quantum light cones in 1D and 2D dipole systems, Annalen Der Physik 533, (2021).
[17]
O. Ciftja, J. Batle, and M. Pons-Viver, A two-dimensional electron gas suspended above a neutralizing background, Annals of Physics 429, (2021).
[18]
J. Batle, Minimum energy configurations for interacting dipoles in simple hypercubic lattices, Results in Physics 16, (2020).
[19]
O. Ciftja and J. Batle, Statistical interaction description of pauli crystals in 2D systems of harmonically confined fermions, Annalen Der Physik 531, (2019).
[20]
M. Naseri, M. M. Abutalib, M. S. A. Alkhambashi, J. Gu, J. Jalilian, A. Farouk, and J. Batle, Prediction of novel SiX2(x = s, se) monolayer semiconductors by density functional theory, Physica E: Low-Dimensional Systems and Nanostructures 114, (2019).
[21]
J. Batle, O. Ciftja, and T. K. Pogány, Hypergeometric solutions for coulomb self-energy model of uniformly charged hollow cylinder, Integral Transforms and Special Functions 30, 418 (2019).
[22]
O. Ciftja and J. Batle, Coulomb potential and energy of a uniformly charged cylindrical shell, Journal of Electrostatics 96, 45 (2018).
[23]
K. Nagata, T. Nakamura, J. Batle, and A. Farouk, Efficient quantum algorithm for the parity problem of a certain function, International Journal of Theoretical Physics 57, 3098 (2018).
[24]
K. Nagata, T. Nakamura, H. Geurdes, J. Batle, A. Farouk, D. N. Diep, and S. K. Patro, Efficient quantum algorithms of finding the roots of a polynomial function, International Journal of Theoretical Physics 57, 2546 (2018).
[25]
K. Nagata, T. Nakamura, J. Batle, S. Abdalla, and A. Farouk, Better entanglement witness for genuine multipartite entanglement, International Journal of Theoretical Physics 57, 2116 (2018).
[26]
I. H. Naeim, J. Batle, S. N. Kadry, and O. H. Tarawneh, Molecular dynamics simulations and the landauer’s principle, Open Systems and Information Dynamics 25, (2018).
[27]
K. Nagata, T. Nakamura, H. Geurdes, J. Batle, S. Abdalla, and A. Farouk, New method of calculating a multiplication by using the generalized bernstein-vazirani algorithm, International Journal of Theoretical Physics 57, 1605 (2018).
[28]
K. Nagata, T. Nakamura, H. Geurdes, J. Batle, S. Abdalla, A. Farouk, and D. N. Diep, Creating very true quantum algorithms for quantum energy based computing, International Journal of Theoretical Physics 57, 973 (2018).
[29]
A. Farouk, J. Batle, M. A. Elhoseny, M. Naseri, M. Q. Lone, A. Fedorov, M. S. A. Alkhambashi, S. H. Ahmed, and M. A. Abdel-Aty, Robust general n user authentication scheme in a centralized quantum communication network via generalized GHZ states, Frontiers of Physics 13, (2018).
[30]
J. Batle, A. Farouk, O. H. Tarawneh, and S. Abdalla, Multipartite quantum correlations among atoms in QED cavities, Frontiers of Physics 13, (2018).
[31]
J. Batle, M. A. Elhoseny, and A. Farouk, Proposal for a quantum-based memory for storing classical information and the connection between molecular dynamics simulations and the landauer’s principle, Studies in Big Data 33, 291 (2018).
[32]
A. Farouk, O. H. Tarawneh, M. A. Elhoseny, J. Batle, M. Naseri, A. E. Hassanien, and M. Abedl-Aty, Quantum key distribution over multi-point communication system: An overview, Studies in Big Data 33, 101 (2018).
[33]
A. Farouk, O. H. Tarawneh, M. A. Elhoseny, J. Batle, M. Naseri, A. E. Hassanien, and M. Q. Lone, Different architectures of quantum key distribution network, Studies in Big Data 33, 41 (2018).
[34]
A. Farouk, O. H. Tarawneh, M. A. Elhoseny, J. Batle, M. Naseri, A. E. Hassanien, and M. Abedl-Aty, IPsec multicast architecture based on quantum key distribution, quantum secret sharing and measurement, Studies in Big Data 33, 123 (2018).
[35]
A. Farouk, O. H. Tarawneh, M. A. Elhoseny, J. Batle, M. Naseri, A. E. Hassanien, and M. Abedl-Aty, Quantum computing and cryptography: An overview, Studies in Big Data 33, 63 (2018).
[36]
A. Farouk, O. H. Tarawneh, M. A. Elhoseny, J. Batle, M. Naseri, A. E. Hassanien, and M. Abedl-Aty, Multi-parties quantum secure direct communication with authentication, Studies in Big Data 33, 143 (2018).
[37]
J. Batle, O. Ciftja, A. Farouk, M. S. A. Alkhambashi, and S. Abdalla, Pauli structures arising from confined particles interacting via a statistical potential, Annals of Physics 384, 11 (2017).
[38]
M. A. Elhoseny, A. Farouk, N. Zhou, M. Wang, S. Abdalla, and J. Batle, Dynamic multi-hop clustering in a wireless sensor network: Performance improvement, Wireless Personal Communications 95, 3733 (2017).
[39]
J. Batle, A. Farouk, M. S. A. Alkhambashi, and S. Abdalla, Multipartite correlation degradation in amplitude-damping quantum channels, Journal of the Korean Physical Society 70, 666 (2017).
[40]
J. Batle, M. S. A. Alkhambashi, A. Farouk, M. Naseri, and M. Ghoranneviss, Multipartite non-locality and entanglement signatures of a field-induced quantum phase transition, European Physical Journal B 90, (2017).
[41]
K. Nagata, T. Nakamura, J. Batle, S. Abdalla, and A. Farouk, Boolean approach to dichotomic quantum measurement theories, Journal of the Korean Physical Society 70, 229 (2017).
[42]
J. Batle, O. Ciftja, M. Naseri, M. Ghoranneviss, K. Nagata, and T. Nakamura, Coulomb self-energy integral of a uniformly charged d-cube: A physically-based method for approximating multiple integrals, Journal of Electrostatics 85, 52 (2017).
[43]
I. H. Naeim, S. Abdalla, J. Batle, and A. Farouk, Solving a conundrum in β-decay spectroscopy experimentation, Romanian Reports in Physics 69, (2017).
[44]
J. Batle, M. M. Abutalib, and S. Abdalla, Anomaly of non-locality and entanglement in teaching quantum information, Revista Mexicana de Fisica E 63, 1 (2017).
[45]
M. Abdolmaleky, M. Naseri, J. Batle, A. Farouk, and L. Gong, Red-green-blue multi-channel quantum representation of digital images, Optik 128, 121 (2017).
[46]
A. Pourkia, J. Batle, and C. H. R. Ooi, Cyclic groups and quantum logic gates, Annals of Physics 373, 10 (2016).
[47]
J. Batle, C. H. R. Ooi, A. Farouk, M. M. Abutalib, and S. Abdalla, Do multipartite correlations speed up adiabatic quantum computation or quantum annealing?, Quantum Information Processing 15, 3081 (2016).
[48]
J. Batle, A. G. Bagdasaryan, A. Farouk, M. M. Abutalib, and S. Abdalla, Quantum correlations in two coupled superconducting charge qubits, International Journal of Modern Physics B 30, (2016).
[49]
M. M. Abutalib, J. Batle, and C. H. R. Ooi, Probing infinity in bounded two-dimensional electrostatic systems, Chaos 26, (2016).
[50]
J. Batle, C. H. R. Ooi, M. M. Abutalib, A. Farouk, and S. Abdalla, Quantum information approach to the azurite mineral frustrated quantum magnet, Quantum Information Processing 15, 2839 (2016).
[51]
J. Batle, C. H. R. Ooi, S. Abdalla, and A. G. Bagdasaryan, Computing the maximum violation of a bell inequality is an NP-problem, Quantum Information Processing 15, 2649 (2016).
[52]
J. Batle, A. G. Bagdasaryan, M. A. Abdel-Aty, and S. Abdalla, Generalized thomson problem in arbitrary dimensions and non-euclidean geometries, Physica A: Statistical Mechanics and Its Applications 451, 237 (2016).
[53]
J. Batle, C. H. R. Ooi, A. Farouk, and S. Abdalla, Nonlocality in pure and mixed n-qubit x states, Quantum Information Processing 15, 1553 (2016).
[54]
J. Batle, C. H. R. Ooi, A. Farouk, M. S. A. Alkhambashi, and S. Abdalla, Global versus local quantum correlations in the grover search algorithm, Quantum Information Processing 15, 833 (2016).
[55]
J. Batle, A. Farouk, M. Naseri, and M. A. Elhoseny, New approach to finding the maximum number of mutually unbiased bases in C6, Applied Mathematics and Information Sciences 10, 2077 (2016).
[56]
A. G. Bagdasaryan and J. Batle, Algebraic characterization of two independent events, College Mathematics Journal 47, 367 (2016).
[57]
J. Batle, C. H. R. Ooi, and S. Abdalla, Reexamination of the purity entanglement measure: Peculiarities of a truly thermodynamic quantum correlation measure, Physical Review A - Atomic, Molecular, and Optical Physics 92, (2015).
[58]
J. Batle, M. A. Abdel-Aty, C. H. R. Ooi, S. Abdalla, and Y. Al-Hedeethi, Locality and classicality: Role of entropic inequalities, Quantum Information Processing 14, 3115 (2015).
[59]
J. Batle and M. A. Abdel-Aty, Geometric approach to the distribution of quantum states in bipartite physical systems, Journal of the Optical Society of America B: Optical Physics 31, 2540 (2014).
[60]
J. Batle, Á. R. Plastino, and M. Casas, Discord-entanglement interplay in the thermodynamic limit: The XY-model, International Journal of Quantum Information 11, (2013).
[61]
J. Batle and M. Casas, Nonlocality and entanglement in qubit systems, Journal of Physics A: Mathematical and Theoretical 44, (2011).
[62]
J. Batle, A. Borŕas, M. Casas, and Á. R. Plastino, Reply to "comment on ’connection between entanglement and the speed of quantum evolution’ and on ’entanglement and the lower bounds on the speed of quantum evolution’", Physical Review A - Atomic, Molecular, and Optical Physics 82, (2010).
[63]
J. Batle and M. Casas, Entanglement distribution and state discrimination in tripartite qubit systems, International Journal of Quantum Information 6, 237 (2008).
[64]
A. Borŕas, Á. R. Plastino, J. Batle, C. Zander, and M. Casas, Multiqubit systems: Highly entangled states and entanglement distribution, Journal of Physics A: Mathematical and Theoretical 40, 13407 (2007).
[65]
J. Batle, M. Casas, and Á. R. Plastino, Erratum: Connection between entanglement and the speed of quantum evolution (phys. Rev. A (2005) 72 (032337)), Physical Review A - Atomic, Molecular, and Optical Physics 73, (2006).
[66]
J. Batle, M. Casas, and Á. R. Plastino, Metrics, entanglement, and mixedness in the space of two-qubits, Physics Letters, Section A: General, Atomic and Solid State Physics 353, 161 (2006).
[67]
J. Batle, M. Casas, and Á. R. Plastino, Entanglement distribution and entangling power of quantum gates, Optika i Spektroskopiya 99, 390 (2005).
[68]
J. Batle, M. Casas, and Á. R. Plastino, Some statistical features of the entanglement changes associated with quantum logical gates, Physica A: Statistical Mechanics and Its Applications 356, 385 (2005).
[69]
J. Batle, M. Casas, and Á. R. Plastino, Entanglement distribution and entangling power of quantum gates, Optics and Spectroscopy (English Translation of Optika i Spektroskopiya) 99, 371 (2005).
[70]
J. Batle, M. Casas, and Á. R. Plastino, Werner states and the two-spinors heisenberg anti-ferromagnet, Physics Letters, Section A: General, Atomic and Solid State Physics 343, 12 (2005).
[71]
J. Batle, M. Casas, and Á. R. Plastino, Maximally entangled mixed states and conditional entropies, Physical Review A - Atomic, Molecular, and Optical Physics 71, (2005).
[72]
J. Batle, M. Casas, and Á. R. Plastino, Quantum entropies and entanglement, International Journal of Quantum Information 3, 99 (2005).
[73]
J. Batle, M. Casas, M. A. Fortes, M. de Llano, and F. J. Sevilla, High tc’s from BCS and BEC unification, Physica C: Superconductivity and Its Applications 408-410, 257 (2004).
[74]
J. Batle, Á. R. Plastino, and M. Casas, Inclusion relations among separability criteria, Journal of Physics A: Mathematical and General 37, 895 (2004).
[75]
J. Batle, Á. R. Plastino, and M. Casas, Understanding quantum entanglement: Qubits, rebits and the quaternionic approach, Optika i Spektroskopiya 94, 759 (2003).
[76]
J. Batle, M. Casas, and Á. R. Plastino, On the correlations between quantum entanglement and q-information measures, Physics Letters, Section A: General, Atomic and Solid State Physics 318, 506 (2003).
[77]
J. Batle, Á. R. Plastino, and M. Casas, Some features of the conditional q-entropies of composite quantum systems, European Physical Journal B 35, 391 (2003).
[78]
J. Batle, M. Casas, and Á. R. Plastino, The statistics of the entanglement generated by the hadamard-CNOT quantum circuit, Physica A: Statistical Mechanics and Its Applications 327, 140 (2003).
[79]
J. Batle, M. Casas, M. de Llano, M. A. Fortes, and F. J. Sevilla, Generalized BCS-bose crossover picture of superconductivity, International Journal of Modern Physics B 17, 3271 (2003).
[80]
J. Batle, Á. R. Plastino, and M. Casas, Understanding quantum entanglement: Qubits, rebits and the quaternionic approach, Optics and Spectroscopy (English Translation of Optika i Spektroskopiya) 94, 700 (2003).
[81]
J. Batle, Á. R. Plastino, and M. Casas, On the distribution of entanglement changes produced by unitary operations, Physics Letters, Section A: General, Atomic and Solid State Physics 307, 253 (2003).
[82]
J. Batle, Á. R. Plastino, and M. Casas, Conditional q-entropies and quantum separability: A numerical exploration, Journal of Physics A: Mathematical and General 35, 10311 (2002).
[83]
J. Batle, Á. R. Plastino, and M. Casas, Quantum evolution of power-law mixed states, Physica A: Statistical Mechanics and Its Applications 308, 233 (2002).
[84]
J. Batle, M. Casas, and Á. R. Plastino, Entanglement, mixedness, and q-entropies, Physics Letters, Section A: General, Atomic and Solid State Physics 296, 251 (2002).
[85]
J. Batle, M. Casas, and Á. R. Plastino, Supersymmetry and the q-MaxEnt treatment, Physica A: Statistical Mechanics and Its Applications 305, 316 (2002).
[86]
J. Batle, M. Casas, and Á. R. Plastino, Interference schemes and entanglement determination, Physical Review A - Atomic, Molecular, and Optical Physics 65, 024304/4 (2002).
[87]
J. Batle, M. Casas, and Á. R. Plastino, Publisher’s note: Interference schemes and entanglement determination [phys. Rev. A 65, 024304 (2002)], Physical Review A - Atomic, Molecular, and Optical Physics 65, 1 (2002).
[88]
J. Batle, M. Casas, and Á. R. Plastino, Inference schemes and entanglement determination, Physical Review A - Atomic, Molecular, and Optical Physics 65, 4 (2002).
[89]
J. Batle, Á. R. Plastino, and M. Casas, On the entanglement properties of two-rebits systems, Physics Letters, Section A: General, Atomic and Solid State Physics 298, 301 (2002).
[90]
J. Batle, M. Casas, and Á. R. Plastino, Erratum: Interference schemes and entanglement determination (physical review a (2002) 65 (024304)), Physical Review A - Atomic, Molecular, and Optical Physics 65, 499021 (2002).
[91]
J. Batle, M. Casas, M. A. Fortes, M. A. Solís, M. de Llano, A. A. Valladares, and O. Rojo, Bose-einstein condensation of nonzero-center-of-mass-momentum cooper pairs, Physica C: Superconductivity and Its Applications 364-365, 161 (2001).
[92]
J. Batle, M. Casas, and Á. R. Plastino, On the ’fake’ inferred entanglement associated with the maximum entropy inference of quantum states, Journal of Physics A: Mathematical and General 34, 6443 (2001).
[93]
J. Batle, M. Casas, and Á. R. Plastino, Tsallis based variational method for finding approximate wave functions, Physica A: Statistical Mechanics and Its Applications 294, 165 (2001).