Noise-adaptive test of quantum correlations with quasiprobability functions
arXiv:2002.05840 · doi:10.1103/PhysRevA.102.012408
Abstract
We introduce a method for testing quantum correlations in terms of quasiprobability functions in the presence of noise. We analyze the effects of measurement imperfection and thermal environment on quantum correlations and show that their noise effects can be well encapsulated into the change of the order parameter of the generalized quasiprobability function. We then formulate a noise-adaptive entanglement witness in the form of a Bell-type inequality by using the generalized quasiprobability function. Remarkably, it allows us to observe quantum correlations under severe noise. Our method provides a useful tool to test quantum correlations in near-term noisy quantum processors with continuous-variable systems.
arXiv comment9 pages, 3 figures, published version
References in corpus (53)
- Quantum Computing in the NISQ era and beyond
- The Quantum Internet
- Quantum information with continuous variables
- Gaussian Quantum Information
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Peres-Horodecki separability criterion for continuous variable systems
- Bell inequalities for arbitrarily high dimensional systems
- Advances in Quantum Teleportation
- Resolving photon number states in a superconducting circuit
- Continuous variable quantum information: Gaussian states and beyond
- Quantum state reconstruction of the single-photon Fock state
- Multipartite entanglement for continuous variables: A quantum teleportation network
- Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement
- Negative Quasi-Probability as a Resource for Quantum Computation
- Nonlocality of Einstein-Podolsky-Rosen State in Wigner Representation
- Quantum Nonlocality in Phase Space
- Direct Probing of Quantum Phase Space by Photon Counting
- Negativity and contextuality are equivalent notions of nonclassicality
- Deterministic teleportation of a quantum gate between two logical qubits
- Classical world arising out of quantum physics under the restriction of coarse-grained measurements
- Estimating outcome probabilities of quantum circuits using quasiprobabilities
- Direct measurement of the Wigner function by photon counting
- Sufficient Conditions for Efficient Classical Simulation of Quantum Optics
- Entangling Bosonic Modes via an Engineered Exchange Interaction
- The conditions for quantum violation of macroscopic realism
- Generic Bell inequalities for multipartite arbitrary dimensional systems
- Dynamics of Nonlocality for A Two-Mode Squeezed State in Thermal Environment
- Entanglement and Wigner function negativity of multimode non-Gaussian states
- Failure of Local Realism Revealed by Extremely Coarse-Grained Measurements
- Physics and application of photon number resolving detectors based on superconducting parallel nanowires
- Quantum teleportation of shared quantum secret
- Coarse Graining Makes It Hard to See Micro-Macro Entanglement
- Fundamental building block for all-optical scalable quantum networks
- Greenberger-Horne-Zeilinger nonlocality in phase space
- Quasiprobability representation of quantum coherence
- Representation of entanglement by negative quasi-probabilities
- Phase-space inequalities beyond negativities
- Quasiprobability distributions for quantum-optical coherence and beyond
- Incomplete Detection of Nonclassical Phase-Space Distributions
- Direct measurement of optical quasidistribution functions: multimode theory and homodyne tests of Bell's inequalities
- Contextuality in phase space
- Testing quantum nonlocality by generalized quasiprobability functions
- Quantum Correlations in Nonlocal BosonSampling
- Nonclassicality Phase-Space Functions: More Insight with Fewer Detectors
- Testing genuine multipartite nonlocality in phase space
- Nonlocality of the Einstein-Podolsky-Rosen state in the phase space
- A generalized structure of Bell inequalities for bipartite arbitrary dimensional systems
- Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement
- Test of nonlocality for a continuos-variable state based on arbitrary number of measurement outcomes
- Experimental Reconstruction of Entanglement Quasiprobabilities
- Measurable criteria of generalized non-locality under the correlation symmetry
- Witnessing entanglement in phase space using inefficient detectors
- High-dimensional Bell test for a continuous variable state in phase space and its robustness to detection inefficiency