Emergent non-Markovianity and dynamical quantification of the quantum switch
arXiv:2307.01964 · doi:10.1103/PhysRevA.111.032428
Abstract
We investigate the dynamical aspects of the quantum switch and find a particular form of quantum memory emerging out of the switch action. We first analyze the loss of information in a general quantum evolution subjected to a quantum switch and propose a measure to quantify the switch-induced memory. We then derive an uncertainty relation between information loss and switch-induced memory. We explicitly consider the example of depolarizing dynamics and show how it is affected by the action of a quantum switch. For a more detailed analysis, we consider both the control qubit and the final measurement on the control qubit as noisy and investigate the said uncertainty relation. Further, while deriving the Lindblad-type dynamics for the reduced operation of the switch action, we identify that the switch-induced memory actually leads to the emergence of non-Markovianity. Interestingly, we demonstrate that the emergent non-Markovianity can be explicitly attributed to the switch operation by comparing it with other standard measures of non-Markovianity. Our investigation thus paves the way forward to understanding the quantum switch as an emerging non-Markovian quantum memory.
14 pages, Close to published version
References in corpus (75)
- Long-distance quantum communication with atomic ensembles and linear optics
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum correlations with no causal order
- Optimized Dynamical Decoupling in a Model Quantum Memory
- Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
- Quantum computations without definite causal structure
- Theoretical framework for quantum networks
- Measure for the Non-Markovianity of Quantum Processes
- Quantum Circuits Architecture
- Canonical form of master equations and characterization of non-Markovianity
- Transforming quantum operations: quantum supermaps
- Experimental Superposition of Orders of Quantum Gates
- Computational advantage from quantum-controlled ordering of gates
- Experimental Verification of an Indefinite Causal Order
- Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
- Enhanced communication with the assistance of indefinite causal order
- Perfect discrimination of no-signalling channels via quantum superposition of causal structures
- Indefinite Causal Order in a Quantum Switch
- Quantum Channels with Memory
- Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication
- Experimental multiparticle entanglement dynamics induced by decoherence
- Witnessing causal nonseparability
- Non-Markovianity through accessible information
- Quantum Metrology with Indefinite Causal Order
- Demonstration of non-Markovian process characterisation and control on a quantum processor
- Comparison of Quantum Channels by Superchannels
- Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
- Quantum Refrigeration with Indefinite Causal Order
- Indefinite causal order enables perfect quantum communication with zero capacity channels
- Thermodynamics of non-Markovian reservoirs and heat engines
- Non-Markovianity through flow of information between a system and an environment
- Landauer vs. Nernst: What is the True Cost of Cooling a Quantum System?
- Quantum Capacity of a dephasing channel with memory
- Exploiting Non-Markovianity of the Environment for Quantum Control
- Ergodic and Mixing Quantum Channels in Finite Dimensions
- Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
- Communication through coherent control of quantum channels
- Thermodynamic meaning and power of non-Markovianity
- The effect of noise correlations on randomized benchmarking
- Delineating incoherent non-Markovian dynamics using quantum coherence
- Communication through quantum-controlled noise
- Resource theories of communication
- A purification postulate for quantum mechanics with indefinite causal order
- Quantum circuits with classical versus quantum control of causal order
- Error Filtration and Entanglement Purification for Quantum Communication
- Dynamical decoupling efficiency versus quantum non-Markovianity
- Channel capacity enhancement with indefinite causal order
- Probabilistic exact universal quantum circuits for transforming unitary operations
- Thermodynamic advancement in the causally inseparable occurrence of thermal maps
- Witnesses of causal nonseparability: an introduction and a few case studies
- Generalized Pauli channels and a class of non-Markovian quantum evolution
- Witnessing quantum memory in non-Markovian processes
- Dynamics and thermodynamics of a central spin immersed in a spin bath
- Superposition of causal order enables perfect quantum teleportation with very noisy singlets
- Nonlocal memory assisted entanglement distribution in optical fibers
- Randomized benchmarking for non-Markovian noise
- Thermodynamics of quantum switch information capacity activation
- Semi-device-independent certification of indefinite causal order
- Exponential improvement for quantum cooling through finite-memory effects
- Classical capacity of quantum channels with general Markovian correlated noise
- Thermodynamic utility of Non-Markovianity from the perspective of resource interconversion
- Detecting non-Markovianity via uncertainty relations
- Universal quantum uncertainty relations between non-ergodicity and loss of information
- Comparing the quantum switch and its simulations with energetically-constrained operations
- Activating information backflow with the assistance of quantum SWITCH
- Semi-Device-Independent Certification of Causal Nonseparability with Trusted Quantum Inputs
- Assessing non-Markovian dynamics through moments of the Choi state
- Towards a general framework of Randomized Benchmarking incorporating non-Markovian Noise
- Quantum superposition of causal structures as a universal resource for local implementation of nonlocal quantum operations
- The quantum switch is uniquely defined by its action on unitary operations
- Interplay between the Hilbert-space dimension of a control system and the memory induced by a quantum SWITCH
- Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity