Experimental Control of the Degree of Non-Classicality via Quantum Coherence
arXiv:1910.11830 · doi:10.1088/2058-9565/aba039
Abstract
The origin of non-classicality in physical systems and its connection to distinctly quantum features such as entanglement and coherence is a central question in quantum physics. This work analyses this question theoretically and experimentally, linking quantitatively non-classicality with quantum coherence. On the theoretical front, we show when the coherence of an observable is linearly related to the degree of violation of the Kolmogorov condition, which quantifies the deviation from any classical (non-invasive) explanation of the multi-time statistics. Experimentally, we probe this connection between coherence and non-classicality in a time-multiplexed optical quantum walk. We demonstrate exquisite control of quantum coherence of the walker by varying the degree of coherent superposition effected by the coin, and we show a concomitant variation in the degree of non-classicality of the walker statistics, which can be accessed directly by virtue of the unprecedented control on the measurement-induced effects obtained via fast programmable electro-optic modulators.
arXiv commentThe first two authors contributed equally, 5+5 pages, 3+2 figures; v2 12+8 pages, close to final version
References in corpus (46)
- Quantifying Coherence
- Quantum Coherence as a Resource
- Quantum random walks - an introductory overview
- Universal computation by quantum walk
- Open Quantum Systems. An Introduction
- Quantum Thermodynamics
- Negativity of the Wigner function as an indicator of nonclassicality
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Two-particle bosonic-fermionic quantum walk via 3D integrated photonics
- Vibrations, Quanta and Biology
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Catalytic Coherence
- Quantum walk of a trapped ion in phase space
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Decoherence and disorder in quantum walks: From ballistic spread to localization
- Concepts of quantum non-Markovianity: a hierarchy
- Graph-Theoretic Approach to Quantum Correlations
- Witnessing Quantum Coherence: from solid-state to biological systems
- Experimental Implementation of the Quantum Random-Walk Algorithm
- An introductory review of the resource theory approach to thermodynamics
- Quantum walk on the line as an interference phenomenon
- Ideal negative measurements in quantum walks disprove theories based on classical trajectories
- Irreversible work and inner friction in quantum thermodynamic processes
- Quantum walks of correlated photon pairs in two-dimensional waveguide arrays
- A strict experimental test of macroscopic realism in a superconducting flux qubit
- Resource Destroying Maps
- Quantum regression theorem and non-Markovianity of quantum dynamics
- No Fine theorem for macrorealism: Limitations of the Leggett-Garg inequality
- Experimental detection of quantum coherent evolution through the violation of Leggett-Garg-type inequalities
- Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories
- Coherence and non-classicality of quantum Markov processes
- Simulating Open Quantum Systems with Hamiltonian Ensembles and the Nonclassicality of the Dynamics
- Classical quantum stochastic processes
- Probing Measurement Induced Effects in Quantum Walks via Recurrence
- Quantum Walks with Dynamical Control: Graph Engineering, Initial State Preparation and State Transfer
- Comparing Conditions for Macrorealism: Leggett-Garg Inequalities vs No-Signaling in Time
- Quantifying the nonclassicality of pure dephasing
- A simple test of quantumness for a single system
- Quantum walk coherences on a dynamical percolation graph
- A quantum-walk-inspired adiabatic algorithm for graph isomorphism
- Classical emulation of quantum-coherent thermal machines
- Quantum and random walks as universal generators of probability distributions
- Quantum-classical dynamical distance and quantumness of quantum walks
- Simulation of Quantum Walks and Fast Mixing with Classical Processes
- Accessible coherence in open quantum system dynamics
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- When is a non-Markovian quantum process classical?
- Quantifying quantum coherence of optical cat states
- Accessible coherence in open quantum system dynamics
- Transfer-tensor description of memory effects in open-system dynamics and multi-time statistics
- Dynamic conditioning of two particle discrete-time quantum walks
- On the classicality of quantum dephasing processes
- Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system
- Superclassical non-Markovian open quantum dynamics
- Connecting Commutativity and Classicality for Multi-Time Quantum Processes
- Temporal nonclassicality in continuous-time quantum walks