Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects
arXiv:2301.02500 · doi:10.1016/j.physleta.2025.130788
Abstract
An operational (measurement based) scheme that connects measurement invasiveness and the presence of non-classical memory effects in open quantum systems is defined. Its underlying theoretical basis relies on a non-invasive measurability of (memoryless) quantum Markovian dynamics when the corresponding observable is diagonal in the same basis as the system density matrix. In contrast, violation of this property can be related to intrinsic non-classical memory effects. Related conditions for violation of Leggett-Garg inequality due to quantum memory effects emerge from this perspective. The developed approach applies to open quantum dynamics whose time-evolution is derived from a full unitary (microscopic) description, stochastic Hamiltonian dynamics, as well as for a broad class of non-unitary system-environment models (bipartite Lindblad equations).
12 pages, 2 figures, improved presentation
References in corpus (23)
- Necessary and sufficient condition for non-zero quantum discord
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Assessing non-Markovian dynamics
- Witnessing Quantum Coherence: from solid-state to biological systems
- Operational Markov condition for quantum processes
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Ideal negative measurements in quantum walks disprove theories based on classical trajectories
- The conditions for quantum violation of macroscopic realism
- Quantum regression theorem and non-Markovianity of quantum dynamics
- Signatures of quantum behavior in single-qubit weak measurements
- Distinguishing quantum and classical transport through nanostructures
- Conditional past-future correlation induced by non-Markovian dephasing reservoirs
- Leggett-Garg inequalities for testing quantumness of gravity
- Distinguishing between quantum and classical Markovian dephasing dissipation
- Non-Markovianity, information backflow and system-environment correlation for open-quantum-system processes
- Experimental violations of Leggett-Garg's inequalities on a quantum computer
- Macroscopic delayed-choice and retrocausality: quantum eraser, Leggett-Garg and dimension witness tests with cat states
- Detection of Bidirectional System-Environment Information Exchanges
- Gravitational Effects on Quantum Coherence in Neutrino Oscillation
- Noninvertibility and non-Markovianity of quantum dynamical maps
- Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
- Leggett-Garg inequalities and decays of unstable systems
- Superclassical non-Markovian open quantum dynamics