Phase covariant qubit dynamics and divisibility

DOI10.1134/S1995080220040095zbMath1450.81014arXiv1911.09468MaRDI QIDQ2206661

A. N. Glinov, Leevi Leppäjärvi, Sergey N. Filippov

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09468

zbMATH Keywords

master equationmemory kernelqubit channeleternal indivisibilityphase covariancepositive divisibilityquantum dynamical map

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Positive linear operators and order-bounded operators (47B65) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum channels, fidelity (81P47)

Related Items (10)

Adjusting phase-covariant qubit channel performance with non-unitality ⋮ Entanglement Robustness in Trace Decreasing Quantum Dynamics ⋮ Improving classical capacity of qubit dynamical maps through stationary state manipulation ⋮ Phase Covariant Channel: Quantum Speed Limit of Evolution ⋮ A study of the quasi-probability distributions of the Tavis-Cummings model under different quantum channels ⋮ An example of explicit generators of local and nonlocal quantum master equations ⋮ Log-convex set of Lindblad semigroups acting on N-level system ⋮ Dynamical maps beyond Markovian regime ⋮ Capacity of trace decreasing quantum operations and superadditivity of coherent information for a generalized erasure channel ⋮ Phase-covariant mixtures of non-unital qubit maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum systems, channels, information. A mathematical introduction.
• Monotonicity of the quantum relative entropy under positive maps
• Who's afraid of not completely positive maps?
• Open quantum systems and Feynman integrals
• Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
• Markovian master equations
• On the generators of quantum dynamical semigroups
• Properties of quantum Markovian master equations
• A note on covariant dynamical semigroups
• An analysis of completely-positive trace-preserving maps on \({\mathcal M}_{2}\)
• Concepts of quantum non-markovianity: a hierarchy
• On singular perturbations of quantum dynamical semigroups
• The low density limit for an N-level system interacting with a free Bose or Fermi gas
• Classical complexity and quantum entanglement
• Lower and upper bounds on nonunital qubit channel capacities
• Pauli semigroups and unistochastic quantum channels
• Quantum mappings and characterization of entangled quantum states
• Statistical Structure of Quantum Theory
• Positive tensor products of maps andn-tensor-stable positive qubit maps
• Assessing Non-Markovian Quantum Dynamics
• The Mathematical Language of Quantum Theory
• Non-monotonic Population and Coherence Evolution in Markovian Open-System Dynamics
• On Weyl channels being covariant with respect to the maximum commutative group of unitaries
• Relaxation Phenomena in Spin and Harmonic Oscillator Systems
• The low-density limit of quantum systems
• There exists a non-standard dynamical semigroup on $ \mathfrak{L}(\mathcal{H})$
• Quantum stochastic equation for the low density limit
• Completely positive dynamical semigroups of N-level systems
• Covariant Mappings for the Description of Measurement, Dissipation and Decoherence in Quantum Mechanics
• Covariant quantum Markovian evolutions
• Alice and Bob Meet Banach
• Quantum informational properties of the Landau–Streater channel
• Geometry of Quantum States
• Quantum-mechanical perturbations giving rise to a statistical transport equation
• On Quantum Theory of Transport Phenomena

This page was built for publication: Phase covariant qubit dynamics and divisibility