List of Publications

List of All Published Works (Descending Cronological Order)

• Finite-temperature detection of quantum critical points via internal quantum teleportation

G.A.P. Ribeiro and G. Rigolin , Phys. Rev. A 111, 012404 (2025). (read)

• Finite-temperature detection of quantum critical points: A comparative study

G.A.P. Ribeiro and G. Rigolin , Phys. Rev. B 109, 245122 (2024). (read)

• Galilean relativity and wave-particle duality imply the Schrödinger equation

G. Rigolin , Phys. Rev. A 109, 052209 (2024). (read)

• Detecting quantum critical points at finite temperature via quantum teleportation: further models

G.A.P. Ribeiro and G. Rigolin , Phys. Rev. A 109, 012612 (2024). (read)

• Asymmetric particle-antiparticle Dirac equation: second quantization

G. Rigolin ,  J. Phys. G: Nucl. Part. Phys. 50, 125005 (2023). (read)

• Asymmetric particle-antiparticle Dirac equation: first quantization

G. Rigolin ,  J. Phys. G: Nucl. Part. Phys. 50, 125003 (2023). (read)

• Detecting quantum critical points at finite temperature via quantum teleportation

G.A.P. Ribeiro and G. Rigolin , Phys. Rev. A 107, 052420 (2023). (read)

• On Lorentz Invariant Complex Scalar Fields

G. Rigolin, Advances in High Energy Physics 2022, Article ID 5511428 (2022). (read)

• Quantum Corralling

R. Vieira, G. Rigolin, and Edgard P. M. Amorim, Phys. Rev. A 104, 032224 (2021). (read)

• Asymptotic security analysis of teleportation-based quantum cryptography

D. Lima and G. Rigolin, Quantum Inf. Process. 19, 201 (2020). (read)

• Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains

R. Vieira and G. Rigolin, Phys. Lett. A 384, 126536 (2020). (read)

• Robust and efficient transport of two-qubit entanglement via disordered spin chains

R. Vieira and G. Rigolin, Quantum Inf. Process. 18, 135 (2019). (read)

• Almost perfect transport of an entangled two-qubit state through a spin chain

R. Vieira and G. Rigolin, Phys. Lett. A 382, 2586 (2018). (read)

• Probabilistic quantum teleportation via thermal entanglement

R. Fortes and G. Rigolin, Phys. Rev. A 96, 022315 (2017). (read)

• Teleportation-based continuous variable quantum cryptography

F. S. Luiz and G. Rigolin, Quantum Inf. Process. 16, 58 (2017). (read)

• Entanglement, Identical Particles and the Uncertainty Principle

G. Rigolin, Commun. Theor. Phys. 66, 201 (2016). (read)

• Probabilistic quantum teleportation in the presence of noise

R. Fortes and G. Rigolin, Phys. Rev. A 93, 062330 (2016). (read)

• A simple derivation of the Schrödinger uncertainty relation

G. Rigolin, Eur. J. Phys. 36, 065007 (2015). (read)

• Fighting noise with noise in realistic quantum teleportation

R. Fortes and G. Rigolin, Phys. Rev. A 92, 012338 (2015). (read)

• Optimal continuous variable quantum teleportation protocol for realistic settings

F. S. Luiz and G. Rigolin, Annals of Physics 354, 409 (2015). (read)

• Degenerate adiabatic perturbation theory: Foundations and applications

G. Rigolin and G. Ortiz, Phys. Rev. A 90, 022104 (2014). (read)

• Entangling power of disordered quantum walks

R. Vieira, E. P. M. Amorim, and G. Rigolin, Phys. Rev. A 89, 042307 (2014). (read)

• Dynamically disordered quantum walk as a maximal entanglement generator

R. Vieira, E. P. M. Amorim, and G. Rigolin, Phys. Rev. Lett.  111, 180503 (2013). (read)

• Improving the  efficiency of single and multiple teleportation protocols based on the direct use of partially entangled states

R. Fortes and G. Rigolin, Annals of Physics  336, 517 (2013). (read)

• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures

T. Werlang, G.A.P. Ribeiro, and G. Rigolin, Int. J. Mod. Phys. B 27, 1345032 (2013). (read)

• Adiabatic theorem for quantum systems with spectral degeneracy

G. Rigolin and G. Ortiz, Phys. Rev. A 85, 062111 (2012). (read)

• Spotlighting quantum critical points via quantum correlations at finite temperatures

T. Werlang, G.A.P. Ribeiro, and G. Rigolin , Phys. Rev. A 83, 062334 (2011). (read)

• Quantum correlations in spin chains at finite temperatures and quantum phase transitions

T. Werlang, C. Trippe, G.A.P. Ribeiro, and G. Rigolin, Phys. Rev. Lett. 105, 095702 (2010). (read)

• Adiabatic perturbation theory and geometric phases for degenerate systems

G. Rigolin and G. Ortiz, Phys. Rev. Lett. 104, 170406 (2010). (read)

• Thermal and magnetic quantum discord in Heisenberg models

T. Werlang and G. Rigolin, Phys. Rev. A 81, 044101 (2010). (read)

• Quantum cryptography using partially entangled states

G. Gordon and G. Rigolin, Opt. Commun. 283, 184 (2010). (read)

• Unity fidelity multiple teleportation using partially entangled states

G. Rigolin, J. Phys. B: At. Mol. Opt. Phys. 42, 235504 (2009). (read)

• Complete state reconstruction of a two-mode Gaussian state via local operations and classical communication

G. Rigolin and M.C. de Oliveira, Phys. Rev. A 79, 030302(R) (2009). (read)

• Beyond the quantum adiabatic approximation: adiabatic perturbation theory

G. Rigolin, G. Ortiz, and V.H. Ponce, Phys. Rev. A 78, 052508 (2008). (read)

• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model

T.R. de Oliveira, G. Rigolin, M.C. de Oliveira, and E. Miranda, Phys. Rev. A 77, 032325 (2008). (read)

• Quantification of continuous variable entanglement with only two types of simple measurements

G. Rigolin and M.C. de Oliveira, Annals of Physics 323, 2172 (2008). (read)

• Emaranhamento quântico (text in Portuguese)

G. Rigolin, Physicae (APGF) 7, 1 (2008). (read)

• Generalized quantum telecloning

G. Gordon and G. Rigolin, Eur. Phys. J. D 45, 347 (2007). (read)

• Minimal set of local measurements and classical communication for two-mode Gaussian state entanglement quantification

L.F. Haruna, M.C. de Oliveira, and G. Rigolin, Phys. Rev. Lett. 98, 150501 (2007). (read)

• Quantum channels in random spin chains

J.A. Hoyos and G. Rigolin, Phys. Rev. A 74, 062324 (2006). (read)

• Multipartite entanglement signature of quantum phase transitions

T.R. de Oliveira, G. Rigolin, M.C. de Oliveira, and E. Miranda, Phys. Rev. Lett. 97, 170401 (2006). (read)

• Operational classification and quantification of multipartite entangled states

G. Rigolin, T.R. de Oliveira, M.C. de Oliveria, Phys. Rev. A 74, 022314 (2006). (read)

• Generalized quantum state sharing

G. Gordon and G. Rigolin, Phys. Rev. A 73, 062316 (2006). (read)

• Generalized teleportation protocol

G. Gordon and G. Rigolin, Phys. Rev. A 73, 042309 (2006). (read)

• Genuine multipartite entanglement in quantum phase transitions

G. Rigolin, T.R. de Oliveira, and M.C. de Oliveria, Phys. Rev. A 73, 010305(R) (2006). (read)

• Local detection of entanglement

G. Rigolin and C.O. Escobar, Eur. Phys. J. D 37, 291 (2006). (read)

• Introduction to quantum cryptography (text in Portuguese)

G. Rigolin and A.A. Rieznik, Rev. Bras. Ens. Fis. 27, 517 (2005). (read)

• Spontaneous decay rates in active waveguides

A.A. Rieznik and G. Rigolin, Opt. Lett. 30, 1108 (2005). (read)

• Effects of the interplay between interaction and disorder in bipartite entanglement

L.F. Santos and G. Rigolin, Phys. Rev. A 71, 032321 (2005). (read)

• Quantum teleportation of an arbitrary two qubit state and its relation to multipartite entanglement

G. Rigolin, Phys. Rev. A 71, 032303 (2005). (read)

• Thermal entanglement in the two-qubit Heisenberg XYZ model

G. Rigolin, Int. J. Quant. Inf. 2, 393 (2004). (read)

• Entanglement versus chaos in disorderd spin chains

L.F. Santos, G. Rigolin, and C.O. Escobar, Phys. Rev. A 69, 042304 (2004). (read)

• Lower bound on the entanglement of formation for general Gaussian states

G. Rigolin and C.O. Escobar, Phys. Rev. A 69, 012307 (2004). (read)

• Uncertainty relations for entangled states

G. Rigolin, Found. Phys. Lett. 15, 293 (2002). (read)

Other Works

• Superdense coding using multipartite states

G. Rigolin, arXiv:quant-ph/0407193v2. (read)

My PhD Thesis (text in Portuguese)

• Estados quânticos emaranhados (Entangled quantum states)

Supervisor: Prof. Carlos Ourivio Escobar

G.Rigolin, State University of Campinas (Unicamp), April/2005. (read)

My Full Professor Thesis (text in Portuguese)

• O Princı́pio da Covariância e as Equações de Onda da Mecânica Quântica (The Principle of Covariance and the Wave Equations of Quantum Mechanics)

G.Rigolin, Federal University of São Carlos (UFSCar), March/2025. (read)

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