Measuring coherence of quantum measurements
arXiv:1903.01173 · doi:10.1103/PhysRevResearch.1.033020
Abstract
The superposition of quantum states lies at the heart of physics and has been recently found to serve as a versatile resource for quantum information protocols, defining the notion of quantum coherence. In this contribution, we report on the implementation of its complementary concept, coherence from quantum measurements. By devising an accessible criterion which holds true in any classical statistical theory, we demonstrate that noncommutative quantum measurements violate this constraint, rendering it possible to perform an operational assessment of the measurement-based quantum coherence. In particular, we verify that polarization measurements of a single photonic qubit, an essential carrier of one unit of quantum information, are already incompatible with classical, i.e., incoherent, models of a measurement apparatus. Thus, we realize a method that enables us to quantitatively certify which quantum measurements follow fundamentally different statistical laws than expected from classical theories and, at the same time, quantify their usefulness within the modern framework of resources for quantum information technology.
arXiv commentclose to published version
References in corpus (47)
- Quantifying Coherence
- Quantum Coherence as a Resource
- Quantum Resource Theories
- Measurement-based quantum computation
- Operational Resource Theory of Coherence
- Measuring Quantum Coherence with Entanglement
- On the Power of One Bit of Quantum Information
- Contextuality supplies the magic for quantum computation
- Catalytic Coherence
- Measures and applications of quantum correlations
- Linear Optics C-Phase gate made simple
- Relating the Resource Theories of Entanglement and Quantum Coherence
- Demonstration of a simple entangling optical gate and its use in Bell-state analysis
- Contextuality in Measurement-based Quantum Computation
- Assisted distillation of quantum coherence
- Demonstration of an optical quantum controlled-NOT gate without path interference
- Universal resources for measurement-based quantum computation
- Converting Nonclassicality into Entanglement
- Unified quantification of nonclassicality and entanglement
- A strict experimental test of macroscopic realism in a superconducting flux qubit
- A resource theory of superposition
- Experimental demonstration of bosonic commutation relation via superpositions of quantum operations on thermal light fields
- Quantum processes which do not use coherence
- All sets of incompatible measurements give an advantage in quantum state discrimination
- Measuring a photonic qubit without destroying it
- Quantifying Operations with an Application to Coherence
- Experimental Proof of Nonlocal Wavefunction Collapse for a Single Particle Using Homodyne Measurement
- Resource theory of coherence based on positive-operator-valued measures
- Robustness of Measurement, discrimination games and accessible information
- Operational relevance of resource theories of quantum measurements
- Interferometric visibility and coherence
- Quantum uncertainty relation using coherence
- Convex ordering and quantification of quantumness
- Extracting quantum coherence via steering
- Entangling measurements for multiparameter estimation with two qubits
- Uncertainty Relations for Quantum Coherence
- How difficult is it to prepare a quantum state?
- Activation of entanglement from quantum coherence and superposition
- Conditional Hybrid Nonclassicality
- Experimental test of contextuality in quantum and classical systems
- Realism-information complementarity in photonic weak measurements
- Quantifying quantum invasiveness
- Measurements of nonlocal variables and demonstration of the failure of the product rule for a pre- and postselected pair of photons
- Quantum Correlations from the Conditional Statistics of Incomplete Data
- Remote Creation of Quantum Coherence
- Monitoring Decoherence via Measurement of Quantum Coherence
- Interpreting quantum coherence through a quantum measurement process
Cited by in corpus (13)
- Experimental progress on quantum coherence: detection, quantification, and manipulation
- Set coherence: basis-independent quantification of quantum coherence
- Experimental quantification of coherence of a tunable quantum detector
- Remotely Establishing Polarization Entanglement over Noisy Polarization Channels
- A note on uncertainty relations of arbitrary N quantum channels
- Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity
- Resource theory of quantum coherence with probabilistically non-distinguishable pointers and corresponding wave-particle duality
- Amount of quantum coherence needed for measurement incompatibility
- Quantum versus classical transport of energy in coupled two-level systems
- All multipartite entanglements are quantum coherences in locally distinguishable bases
- Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder
- Detector entanglement: Quasidistributions for Bell-state measurements
- Impact of quadrature measurement on quantum coherence