Memory effects in quantum channel discrimination

Abstract

We consider quantum-memory assisted protocols for discriminating quantum channels. We show that for optimal discrimination of memory channels, memory assisted protocols are needed. This leads to a new notion of distance for channels with memory. For optimal discrimination and estimation of sets of unitary channels memory-assisted protocols are not required.

4 pages, 2 figures, revtex4

References in corpus (6)

• Quantum Circuits Architecture
• Entanglement Is Not Necessary for Perfect Discrimination between Unitary Operations
• Reexamination of Quantum Bit Commitment: the Possible and the Impossible
• Spin chains and channels with memory
• Coding Theorem for a Class of Quantum Channels with Long-Term Memory
• Unambiguous discrimination among oracle operators

Cited by in corpus (117)

• Gaussian Quantum Information
• Theoretical framework for quantum networks
• Perfect discrimination of no-signalling channels via quantum superposition of causal structures
• A Geometric Perspective on Quantum Parameter Estimation
• Quantum stochastic processes and quantum non-Markovian phenomena
• Efficient tools for quantum metrology with uncorrelated noise
• Completely Positive Divisibility Does Not Mean Markovianity
• Quantum computation with programmable connections between gates
• Sequential feedback scheme outperforms the parallel scheme for Hamiltonian parameter estimation
• Adaptive versus non-adaptive strategies for quantum channel discrimination
• Amortized Channel Divergence for Asymptotic Quantum Channel Discrimination
• Non-Markovian Quantum Process Tomography
• When is a non-Markovian quantum process classical?
• Strict hierarchy between parallel, sequential, and indefinite-causal-order strategies for channel discrimination
• Quantum metrology for non-Markovian processes
• Resource theory of asymmetric distinguishability for quantum channels
• Asymptotic theory of quantum channel estimation
• Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories
• A chain rule for the quantum relative entropy
• Optimal quantum networks and one-shot entropies
• Fundamental limitations on distillation of quantum channel resources
• Probabilistic exact universal quantum circuits for transforming unitary operations
• Thermodynamic Capacity of Quantum Processes
• Entropy of a quantum channel
• Entanglement cost and quantum channel simulation
• Geometric distinguishability measures limit quantum channel estimation and discrimination
• On a measure of distance for quantum strategies
• A short impossibility proof of Quantum Bit Commitment
• Memory effects in quantum metrology
• Optimal quantum tomography
• Unitary channel discrimination beyond group structures: Advantages of sequential and indefinite-causal-order strategies
• Generalized channels: channels for convex subsets of the state space
• Estimating distinguishability measures on quantum computers
• Genuine Multipartite Entanglement in Time
• Optimal networks for Quantum Metrology: semidefinite programs and product rules
• Deterministic transformations between unitary operations: Exponential advantage with adaptive quantum circuits and the power of indefinite causality
• Causation does not explain contextuality
• Quantum learning algorithms for quantum measurements
• Probing the qudit depolarizing channel
• A necessary condition for incompatibility of observables in general probabilistic theories
• Optimally controlled quantum discrimination and estimation
• Optimal single shot strategies for discrimination of quantum measurements
• Fourier Analytic Approach to Phase Estimation
• Symmetries of quantum evolutions
• Base norms and discrimination of generalized quantum channels
• Resource theory of causal connection
• Fast Quantum Algorithms for Trace Distance Estimation
• Usefulness of adaptive strategies in asymptotic quantum channel discrimination
• Single-shot discrimination of quantum unitary processes
• Quantum Strategies and Local Operations
• Extremal quantum protocols
• Multiparameter quantum metrology in the Heisenberg Limit regime: many repetition scenario vs. full optimization
• Strong and uniform convergence in the teleportation simulation of bosonic Gaussian channels
• Designing optimal protocols in Bayesian quantum parameter estimation with higher-order operations
• Conditions for optimal input states for discrimination of quantum channels
• A comparative study of universal quantum computing models: towards a physical unification
• Virtual quantum resource distillation: General framework and applications
• Ancilla dimension in quantum channel discrimination
• Filtering crosstalk from bath non-Markovianity via spacetime classical shadows
• Experimentally feasible measures of distance between quantum operations
• Incompatible measurements on quantum causal networks
• Experimental demonstration of input-output indefiniteness in a single quantum device
• Optimal two-copy discrimination of quantum measurements
• Exact quantum sensing limits for bosonic dephasing channels
• Entanglement-breaking superchannels
• Identification of a reversible quantum gate: assessing the resources
• Quantum rebound capacity
• A general theory of comparison of quantum channels (and beyond)
• Discrimination of POVMs with rank-one effects
• Multiple-shot and unambiguous discrimination of von Neumann measurements
• Classical Cryptographic Protocols in a Quantum World
• Parallelization of Adaptive Quantum Channel Discrimination in the Non-Asymptotic Regime
• Generalized quantum process discrimination problems
• Optimal universal quantum circuits for unitary complex conjugation
• Exact entanglement cost of quantum states and channels under PPT-preserving operations
• Quantifying the performance of approximate teleportation and quantum error correction via symmetric two-PPT-extendibility
• Universal resources for quantum computing
• Evaluating the Advantage of Adaptive Strategies for Quantum Channel Distinguishability
• Optimal entanglement-assisted discrimination of quantum measurements
• Simple upper and lower bounds on the ultimate success probability for discriminating arbitrary finite-dimensional quantum processes
• Stochastic metrology and the empirical distribution
• Normal completely positive maps on the space of quantum operations
• Quantum Hypothesis Testing with Group Structure
• The SWITCH test for discriminating quantum evolutions
• Quantum chicken-egg dilemmas: Delayed-choice causal order and the reality of causal non-separability
• Optimal quantum discrimination of single-qubit unitary gates between two candidates
• Quantum superreplication of states and gates
• No-signalling constrains quantum computation with indefinite causal structure
• Quantum Network Discrimination
• Extremality conditions for generalized channels
• Universal bounds for quantum metrology in the presence of correlated noise
• Identifying quantum change points for Hamiltonians
• A survey of universal quantum von Neumann architecture
• Memory cost of quantum protocols
• Quantum circuit simulation of superchannels
• Discrimination of correlated and entangling quantum channels with selective process tomography
• Binary Discrimination in Quantum Systems via Hypothesis Testing
• Recovery With Incomplete Knowledge: Fundamental Bounds on Real-Time Quantum Memories
• On the optimal certification of von Neumann measurements
• Extremal generalized quantum measurements
• Towards the ultimate limits of quantum channel discrimination and quantum communication
• On the convex structure of process POVMs
• Adversarial quantum channel discrimination
• Experimental simulation of quantum superchannels
• Excluding false negative error in certification of quantum channels
• Indefinite causal order strategy does not improve the estimation of group action
• Minimal-error quantum state discrimination versus robustness of entanglement:More indistinguishability with less entanglement
• Quantum Dynamical Resource Theory under Resource Non-increasing Framework
• Single-shot labeling of quantum observables
• Equilibration and Typicality in Quantum Processes
• Dilation, Discrimination and Uhlmann's Theorem of Link Products of Quantum Channels
• Quantum Advantage in Storage and Retrieval of Isometry Channels
• Unbounded entanglement-sustaining sequential local quantum state discrimination
• The entropy of quantum causal networks
• Fast tests for probing the causal structure of quantum processes
• Enhanced quantum hypothesis testing via the interplay between coherent evolution and noises
• Optimal Hamiltonian recognition of unknown quantum dynamics