Spectral properties of reduced fermionic density operators and parity superselection rule

DOI10.1007/s11128-016-1467-9zbMath1373.81099arXiv1512.01828OpenAlexW3100153430MaRDI QIDQ2411539

Sergey N. Filippov, Grigori G. Amosov

Publication date: 24 October 2017

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01828

zbMATH Keywords

spectrumreduced density matrixsuperselection ruleequispectralityfermionic stategeneralized Pauli constraintstracing out modestracing out particles

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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Cites Work

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• Quantum systems, channels, information. A mathematical introduction.
• Fermionic quantum computation
• Sub-shot-noise quantum metrology with entangled identical particles
• Completely positive quasi-free maps on the CAR algebra
• Some aspects of quantum entanglement for CAR systems
• Quantifying quantum correlations in fermionic systems using witness operators
• The physical nature of information
• On unitary ray representations of continuous groups
• The Feynman problem and fermionic entanglement: Fermionic theory versus qubit theory
• Connecting the von Neumann and Rényi entropies for fermions
• Experimental observation of Weyl points
• Reference frames, superselection rules, and quantum information
• Eigenvalues of Density Matrices
• Fermionic quasifree states and maps in information theory
• Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics
• Quantum Field Theory in Condensed Matter Physics
• Performances and robustness of quantum teleportation with identical particles
• Generalized conditional entropy in bipartite quantum systems
• Entanglement of Identical Particles
• Proof of the Fermion Superselection Rule without the Assumption of Time-Reversal Invariance
• The Connection Between Spin and Statistics
• The Intrinsic Parity of Elementary Particles
• Reasonable fermionic quantum information theories require relativity