Unified Approach to Witness Nonentanglement-Breaking Quantum Channels
arXiv:1912.10605 · doi:10.1103/PhysRevA.101.062301
Abstract
The ability of quantum devices to preserve or distribute entanglement is essential in employing quantum technologies. Such ability is described and guaranteed by the nonentanglement-breaking (nonEB) feature of participating quantum channels. For quantum information applications relying on entanglement, the certification of the nonEB feature is thus indispensable in designing, testing, and benchmarking quantum devices. Here, we develop a direct and operational approach for the certification of nonEB quantum channels. By utilizing the prepare-and-measure test, we derive a necessary and sufficient condition for witnessing nonEB channels, which is applicable in almost all experimental scenarios. The approach not only unifies and simplifies existing methods in the standard scenario and the measurement-device-independent scenario, but also goes further allowing for certifying the nonEB feature in the semi-device-independent scenario.
arXiv comment14 pages, comments are welcomed. Added references and proofs
References in corpus (41)
- Quantum entanglement
- Quantum information with continuous variables
- The Security of Practical Quantum Key Distribution
- Bell nonlocality
- Entanglement detection
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Security Aspects of Practical Quantum Cryptography
- Prescription for experimental determination of the dynamics of a quantum black box
- On the role of entanglement in quantum computational speed-up
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- General Entanglement Breaking Channels
- Information and Computation: Classical and Quantum Aspects
- From Classical to Quantum Shannon Theory
- Quantum steering: a review with focus on semidefinite programming
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Entanglement Certification From Theory to Experiment
- Quantum channels and memory effects
- Entanglement as precondition for secure quantum key distribution
- All Entangled Quantum States Are Nonlocal
- Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
- Entanglement verification and steering when Alice and Bob cannot be trusted
- A resource theory of quantum memories and their faithful verification with minimal assumptions
- Device-independent entanglement certification of all entangled states
- Verifying the quantumness of a channel with an untrusted device
- All quantum resources provide an advantage in exclusion tasks
- Comparison of quantum statistical models: equivalent conditions for sufficiency
- The type-independent resource theory of local operations and shared randomness
- Implementation of a Measurement-Device-Independent Entanglement Witness
- Resource-efficient measurement device independent entanglement witness
- A channel-based framework for steering, non-locality and beyond
- Measurement-device-independent quantification of entanglement for given Hilbert space dimension
- Quantification of quantum dynamics with input-output games
- Channel Steering
- Distributed sampling, quantum communication witnesses, and measurement incompatibility
- Device-independent tests of quantum channels
- Measurement Device Independent Verification of Quantum Channels
- Practical measurement-device-independent entanglement quantification
- An Experimentally Verified Approach to non-Entanglement-Breaking Channel Certification
- Reliable and robust entanglement witness
- Experimental device-independent tests of quantum channels