Leggett-Garg Macrorealism and temporal correlations
arXiv:2212.11616 · doi:10.1103/PhysRevA.107.040101
Abstract
Leggett and Garg formulated macrorealist models encoding our intuition on classical systems, i.e., physical quantities have a definite value that can be measured with minimal disturbance, and with the goal of testing macroscopic quantum coherence effects. The associated inequalities, involving the statistics of sequential measurements on the system, are violated by quantum mechanical predictions and experimental observations. Such tests, however, are subject to loopholes: a classical explanation can be recovered assuming specific models of measurement disturbance. We review recent theoretical and experimental progress in characterizing macrorealist and quantum temporal correlations, and in closing loopholes associated with Leggett-Garg tests. Finally, we review recent definitions of nonclassical temporal correlations, which go beyond macrorealist models by relaxing the assumption on the measurement disturbance, and their applications in sequential quantum information processing.
arXiv comment22 pages, 7 figures. Final version
References in corpus (111)
- Bell nonlocality
- Non-Markovian dynamics in open quantum systems
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum correlations with no causal order
- Non-locality and Communication Complexity
- Quantum Steering
- A simple test for hidden variables in spin-1 system
- Quantum computations without definite causal structure
- Theoretical framework for quantum networks
- Quantum Decoherence
- Leggett-Garg Inequalities
- Experimental violation of a Bell's inequality in time with weak measurement
- Testing the Hilbert space dimension
- An improved Landauer Principle with finite-size corrections
- Witnessing Quantum Coherence: from solid-state to biological systems
- Device-independent tests of classical and quantum dimensions
- Semi-device-independent security of one-way quantum key distribution
- Loopholes in Bell Inequality Tests of Local Realism
- Classical world arising out of quantum physics under the restriction of coarse-grained measurements
- Macroscopic quantum states: measures, fragility and implementations
- Quantum root-mean-square error and measurement uncertainty relations
- Kochen-Specker Contextuality
- Macroscopicity of Mechanical Quantum Superposition States
- Condition for macroscopic realism beyond the Leggett-Garg inequalities
- Quantum stochastic processes and quantum non-Markovian phenomena
- Ideal negative measurements in quantum walks disprove theories based on classical trajectories
- All noncontextuality inequalities for the n-cycle scenario
- A lower bound on the dimension of a quantum system given measured data
- Violation of the Leggett-Garg Inequality in Neutrino Oscillations
- A strict experimental test of macroscopic realism in a superconducting flux qubit
- Experimental estimation of the dimension of classical and quantum systems
- Temporal quantum correlations and Leggett-Garg inequalities in multi-level systems
- Autonomous quantum clocks: does thermodynamics limit our ability to measure time?
- Is a time symmetric interpretation of quantum theory possible without retrocausality?
- Experimental Device-independent Tests of Classical and Quantum Dimensions
- Quantum correlations in the temporal CHSH scenario
- Quantifying Non-Markovianity with Temporal Steering
- Bounding temporal quantum correlations
- Landauer vs. Nernst: What is the True Cost of Cooling a Quantum System?
- No Fine theorem for macrorealism: Limitations of the Leggett-Garg inequality
- Bounding the quantum dimension with contextuality
- Translation of Lueders' "Uber die Zustandsanderung durch den Messprozess"
- Addressing the clumsiness loophole in a Leggett-Garg test of macrorealism
- The Leggett-Garg Inequalities and No-Signalling in Time: A Quasi-Probability Approach
- Bell's Theorem and Locally-Mediated Reformulations of Quantum Mechanics
- When is a non-Markovian quantum process classical?
- Experimental detection of quantum coherent evolution through the violation of Leggett-Garg-type inequalities
- A temporal steering inequality
- Optimal inequalities for state-independent contextuality
- Verifying the quantumness of a channel with an untrusted device
- Memory cost of quantum contextuality
- Distinguishing quantum and classical transport through nanostructures
- Violations of Bell inequalities as lower bounds on the communication cost of non-local correlations
- Coarsening Measurement References and the Quantum-to-Classical Transition
- Multipartite Causal Correlations: Polytopes and Inequalities
- Semi-device-independent self-testing of unsharp measurements
- Temporal steering and security of quantum key distribution with mutually-unbiased bases against individual attacks
- Leggett-Garg test of superconducting qubit addressing the clumsiness loophole
- Certified quantum non-demolition measurement of a macroscopic material system
- Leggett-Garg inequality in the context of three flavour neutrino oscillation
- Experimental test of non-macrorealistic cat-states in the cloud
- Maximum violations of the quantum-witness equality
- Leggett-Garg inequalities and the geometry of the cut polytope
- A hidden variable model for universal quantum computation with magic states on qubits
- Quantifying Quantumness of Channels Without Entanglement
- Experimental Tests of Classical and Quantum Dimensions
- Leggett--Garg inequality violations with a large ensemble of qubits
- Experimental violation of the Leggett-Garg inequality in a 3-level system
- Quantum non-demolition measurement enables macroscopic Leggett-Garg tests
- Assessing dimensions from evolution
- Non-classicality of temporal correlations
- Certifying an irreducible 1024-dimensional photonic state using refined dimension witnesses
- Leggett-Garg macrorealism and the quantum nondisturbance conditions
- Testing violation of the Leggett-Garg-type inequality in neutrino oscillations of the Daya Bay experiment
- Robustness of Device Independent Dimension Witnesses
- Structure of temporal correlations of a qubit
- Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
- Hierarchy in temporal quantum correlations
- A Unifying Framework for Spatial and Temporal Quantum Correlations
- Testing dimension and non-classicality in communication networks
- Three Flavoured neutrino oscillations and the Leggett Garg Inequality
- Interference experiment, anomalous weak value and Leggett-Garg test of macrorealism
- Exploration of an augmented set of Leggett-Garg inequalities using a noninvasive continuous-in-time velocity measurement
- Unified picture for spatial, temporal and channel steering
- Ambiguous measurements, signalling and violations of Leggett-Garg inequalities
- Memory cost of temporal correlations
- Optimal Measurements of Magnetic Flux in Superconducting Circuits and Macroscopic Quantum Mechanics
- Leggett-Garg tests for macrorealism: interference experiments and the simple harmonic oscillator
- Loophole free interferometric test of macrorealism using heralded single photons
- Genuine temporal correlations can certify the quantum dimension
- Experimental violations of Leggett-Garg's inequalities on a quantum computer
- Bell inequalities from variable elimination methods
- Memory cost for simulating all quantum correlations of the Peres-Mermin scenario
- Violations of a Leggett-Garg inequality without signalling for a photonic qutrit probed with ambiguous measurements
- Leggett-Garg tests of macro-realism for multi-particle systems including double-well Bose-Einstein condensates
- Tsirelson's bound and Landauer's principle in a single-system game
- Leggett-Garg Correlation Functions from Non-Invasive Velocity Measurement Continuous in Time
- Probing the Non-Classicality of Temporal Correlations
- Temporal correlations in the simplest measurement sequences
- Information-based measure of nonlocality
- Ticking-clock performance enhanced by nonclassical temporal correlations
- Simulating extremal temporal correlations
- Certifying the purity of quantum states with temporal correlations
- Economical ontological models for discrete quantum systems
- Deccoherent Histories and Measurement of Temporal Correlation Functions for Leggett-Garg Inequalities
- Quantum nondemolition measurements on two-level atomic systems and temporal Bell inequalities
- Certifying dimension of quantum systems by sequential projective measurements
- Structure of dimension-bounded temporal correlations
- Exploring the limits of no backward in time signalling
- Strict experimental test of macroscopic realism in a light-matter-interfaced system
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- Inferring the arrow of time in quantum spatiotemporal correlations
- Quantum Causal Inference with Extremely Light Touch
- Certifying Quantum Temporal Correlation via Randomized Measurements: Theory and Experiment
- Semi-device-independently characterizing quantum temporal correlations
- No-broadcasting characterizes operational contextuality
- Observation of Full Hierarchy of Temporal Quantum Correlations with a Superconducting Qubit
- Entanglement-breaking channels are a quantum memory resource
- Optimisation of time-ordered processes in the finite and asymptotic regime
- Why quantum correlations are shocking
- Connecting extended Wigner's friend arguments and noncontextuality
- Witnessing environment dimension through temporal correlations
- Entanglement of temporal sections as quantum histories and their quantum correlation bounds
- Classical Invasive Description of Informationally-Complete Quantum Processes
- Spatial Leggett-Garg inequalities
- Assessing the dynamical assumptions in Tsirelson inequality tests of non-classicality in harmonic oscillators
- Temporal nonclassicality in continuous-time quantum walks
- Two-time quantities as elements of physical reality
- Quantum contextuality from measurement invasiveness