Signatures of quantum behavior in single-qubit weak measurements
arXiv:quant-ph/0505094 · doi:10.1103/PhysRevLett.96.200404
Abstract
With the recent surge of interest in quantum computation, it has become very important to develop clear experimental tests for ``quantum behavior'' in a system. This issue has been addressed in the past in the form of the inequalities due to Bell and those due to Leggett and Garg. These inequalities concern the results of ideal projective measurements, however, which are experimentally difficult to perform in many proposed qubit designs, especially in many solid state qubit systems. Here, we show that weak continuous measurements, which are often practical to implement experimentally, can yield particularly clear signatures of quantum coherence, both in the measured correlation functions and in the measured power spectrum.
5 pages, new references added, new paragraph on classical noninvasiveness after eq.(4)
References in corpus (17)
- Quantum Computation with Quantum Dots
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Manipulating the Quantum State of an Electrical Circuit
- Quantum Manipulations of Small Josephson Junctions
- Measurements with a noninvasive detector and dephasing mechanism
- Continuous quantum measurement of a double dot
- Adiabatic quantum computation with Cooper pairs
- Selective quantum evolution of a qubit state due to continuous measurement
- Continuous weak measurement of quantum coherent oscillations
- Quantum-Limited Measurement and Information in Mesoscopic Detectors
- Efficiency of Mesoscopic Detectors
- Dynamics of a mesoscopic qubit under continuous quantum measurement
- Output spectrum of a detector measuring quantum oscillations
- Statistics and noise in a quantum measurement process
- Decoherence and the theory of continuous quantum measurements
- Spectrum of qubit oscillations from Bloch equations
- Output spectrum of a measuring device at arbitrary voltage and temperature
Cited by in corpus (59)
- Leggett-Garg Inequalities
- Experimental violation of a Bell's inequality in time with weak measurement
- Weak values and the Leggett-Garg inequality in solid-state qubits
- Violation of a Leggett-Garg inequality with ideal non-invasive measurements
- Experimental Violation of Two-Party Leggett-Garg Inequalities with Semi-weak Measurements
- Precision metrology using weak measurements
- Partial-measurement back-action and non-classical weak values in a superconducting circuit
- Leggett-Garg inequality with a kicked quantum pump
- Addressing the clumsiness loophole in a Leggett-Garg test of macrorealism
- A scattering quantum circuit for measuring Bell's time inequality: a nuclear magnetic resonance demonstration using maximally mixed states
- Distinguishing quantum and classical transport through nanostructures
- Could light harvesting complexes exhibit non-classical effects at room temperature?
- Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos
- A macro-realism inequality for opto-electro-mechanical systems
- Properties and Applications of the Kirkwood-Dirac Distribution
- Wigner's form of the Leggett-Garg inequality, No-Signalling in Time, and Unsharp Measurements
- Nonclassical time correlation functions in continuous quantum measurement
- Quasi-probability distributions for observables in dynamic systems
- Quantum non-demolition measurement enables macroscopic Leggett-Garg tests
- Qubit state monitoring by measurement of three complementary observables
- Continuous Quantum Hypothesis Testing
- The Leggett-Garg inequality in electron interferometers
- Leggett-Garg Inequalities for Squeezed States
- Three Flavoured neutrino oscillations and the Leggett Garg Inequality
- Correlations of the time dependent signal and the state of a continuously monitored quantum system
- Experimental test of nonclassicality for a single particle
- Noninvasiveness and time symmetry of weak measurements
- NMR Analog of Bell's Inequalities Violation Test
- Avoiding Loopholes with Hybrid Bell-Leggett-Garg Inequalities
- Quantum nonlinear spectroscopy of single nuclear spins
- Ambiguous measurements, signalling and violations of Leggett-Garg inequalities
- New Test of Neutrino Oscillation Coherence with Leggett-Garg Inequality
- Crossover of phase qubit dynamics in presence of negative-result weak measurement
- Disturbance in weak measurements and the difference between quantum and classical weak values
- Probing quantumness with joint continuous measurements of non-commuting qubit observables
- Partial measurements and the realization of quantum-mechanical counterfactuals
- Qubit purification speed-up for three complementary continuous measurements
- Leggett-Garg Correlation Functions from Non-Invasive Velocity Measurement Continuous in Time
- Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint
- Optimal violation of Leggett-Garg inequality for arbitrary spin and emergence of classicality through unsharp measurement
- Violation of a Leggett-Garg inequality using ideal negative measurements in neutron interferometry
- Persistence of quantum violation of macrorealism for large spins even under coarsening of measurement times
- Precision bounds for multiple currents in open quantum systems
- Quantum measurement with recycled photons
- Quantum-mechanical machinery for rational decision-making in classical guessing game
- Simple theory of the measured current through quantum dots
- Testing Bell inequalities with weak measurements
- Protecting temporal correlations of two-qubit states using quantum channels with memory
- Violation of the two-time Leggett-Garg inequalities for a harmonic oscillator
- Observation of Full Hierarchy of Temporal Quantum Correlations with a Superconducting Qubit
- The Leggett-Garg inequality and Page-Wootters mechanism
- Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects
- Nuclear Spins as Quantum Testbeds: Singlet States, Quantum Correlations, and Delayed-choice Experiments
- Double detected spin-dependent quantum dot
- Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers
- Quantum Non-Demolition Measurements and Leggett-Garg inequality
- Almost no experiments have classical Kirkwood-Dirac representations
- Quantumness of electron transport in quantum dot devices through Leggett-Garg inequalities: A non-equilibrium Green's function approach
- Tunneling without tunneling: wavefunction reduction in a mesoscopic qubit