Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements
arXiv:2111.13218 · doi:10.1103/PhysRevLett.129.230401
Abstract
Quantum computers will provide considerable speedups with respect to their classical counterparts. However, the identification of the innately quantum features that enable these speedups is challenging. In the continuous-variable setting - a promising paradigm for the realisation of universal, scalable, and fault-tolerant quantum computing - contextuality and Wigner negativity have been perceived as two such distinct resources. Here we show that they are in fact equivalent for the standard models of continuous-variable quantum computing. While our results provide a unifying picture of continuous-variable resources for quantum speedup, they also pave the way towards practical demonstrations of continuous-variable contextuality, and shed light on the significance of negative probabilities in phase-space descriptions of quantum mechanics.
v2: accepted for publication in PRL; 11 pages + 8 pages of appendices; 1 figure
References in corpus (21)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum computational advantage using photons
- State-independent experimental test of quantum contextuality
- Negativity and contextuality are equivalent notions of nonclassicality
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Non-Gaussian Quantum States and Where to Find Them
- Experimental test of quantum contextuality in neutron interferometry
- Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
- Bosonic quantum error correction codes in superconducting quantum circuits
- The contextual fraction as a measure of contextuality
- Wigner function negativity and contextuality in quantum computation on rebits
- Directly estimating non-classicality
- State-independent experimental tests of quantum contextuality in a three dimensional system
- Continuous-Variable Instantaneous Quantum Computing is hard to sample
- Uniqueness of noncontextual models for stabilizer subtheories
- Continuous-Variable Sampling from Photon-Added or Photon-Subtracted Squeezed States
- Witnessing Wigner Negativity
- State-independent quantum contextuality for continuous variables
- Contextuality in phase space
- Positive phase space transformation incompatible with classical physics
- Continuous Variable Quantum Advantages and Applications in Quantum Optics
Cited by in corpus (22)
- Properties and Applications of the Kirkwood-Dirac Distribution
- Mesoscopic ultrafast nonlinear optics -- The emergence of multimode quantum non-Gaussian physics
- The role of cohomology in quantum computation with magic states
- Anomalous energy exchanges and Wigner function negativities in a single qubit gate
- Experimental test of high-dimensional quantum contextuality based on contextuality concentration
- Advantages of the Kirkwood-Dirac distribution among general quasi-probabilities for finite-state quantum systems
- No-broadcasting characterizes operational contextuality
- Closing Bell: Boxing black box simulations in the resource theory of contextuality
- On Quantum Steering and Wigner Negativity
- Quasiprobability distributions with weak measurements
- Polytopes of Absolutely Wigner Bounded Spin States
- Adapting coherent-state superpositions in noisy channels
- Stellar representation of extremal Wigner-negative spin states
- Harvesting Contextuality from the Vacuum
- Decoherence and Probability
- Exploring the boundary of quantum correlations with a time-domain optical processor
- Symmetries and Wigner representations of operational theories
- The Interplay between Quantum Contextuality and Wigner Negativity
- Ideal stochastic process modeling with post-quantum quasiprobabilistic theories
- Qudit Clauser-Horne-Shimony-Holt Inequality and Nonlocality from Wigner Negativity
- k-Contextuality as a Heuristic for Memory Separations in Learning
- Probing information theoretic measures of nonlinear ultracold quantum gases using phase-space distributions