Duality of Quantum Coherence and Path Distinguishability
arXiv:1503.02990 · doi:10.1103/PhysRevA.92.012118
Abstract
We derive a generalized wave-particle duality relation for arbitrary multipath quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the interference fringe visibility, we introduce a quantifier as the normalized quantum coherence, recently defined in the framework of quantum information theory. To witness the particle nature, we quantify the path distinguishability or the which-path information based on unambiguous quantum state discrimination. Then, the Bohr complementarity principle for multipath quantum interference can be stated as a duality relation between the quantum coherence and the path distinguishability. For two-path interference, the quantum coherence is identical to the interference fringe visibility, and the relation reduces to the well-known complementarity relation. The duality relation continues to hold in the case where mixedness is introduced due to possible decoherence effects.
6 pages, 0 figures, close to the published version
References in corpus (10)
- Observable measure of quantum coherence in finite dimensional systems
- Quantum state discrimination and its applications
- A quantum delayed choice experiment
- Entanglement-enabled delayed choice experiment
- Delayed-choice test of complementarity with single photons
- Unambiguous discrimination of mixed states
- Equivalence of wave-particle duality to entropic uncertainty
- Optimum unambiguous discrimination of two mixed states and application to a class of similar states
- Discriminating single-photon states unambiguously in high dimensions
- Quantum which-way information and fringe visibility when the detector is entangled with an ancilla
Cited by in corpus (159)
- Quantum Coherence as a Resource
- Quantum coherence in multipartite systems
- Trace-distance measure of coherence
- Quantum coherence and geometric quantum discord
- Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
- Relations between coherence and path information
- Quantum-coherence quantifiers based on the Tsallis relative -entropies
- Maximal Coherence and the Resource Theory of Purity
- Entanglement and coherence in quantum state merging
- Genuine quantum coherence
- Quantifying coherence of Gaussian states
- Relative quantum coherence, incompatibility, and quantum correlations of states
- Evolution equation for quantum coherence
- Energy Cost of Creating Quantum Coherence
- Towards resource theory of coherence in distributed scenarios
- Hierarchy of the nonlocal advantage of quantum coherence and Bell nonlocality
- Steered quantum coherence as a signature of quantum phase transitions in spin chains
- Interferometric visibility and coherence
- Nonlocal advantage of quantum coherence in high-dimensional states
- Cohering power of quantum operations
- Experimental progress on quantum coherence: detection, quantification, and manipulation
- Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
- Entropic framework for wave-particle duality in multipath interferometers
- Quantifying quantum coherence and non-classical correlation based on Hellinger distance
- Average coherence and its typicality for random pure states
- Family of coherence measures and duality between quantum coherence and path distinguishability
- Axiomatic and operational connections between the -norm of coherence and negativity
- A new coherence measure based on fidelity
- Experimentally Obtaining Maximal Coherence Via Assisted Distillation Pro cess
- Duality games and operational duality relations
- Frobenius-norm-based measures of quantum coherence and asymmetry
- Uncertainty Relations for Quantum Coherence
- Predictability, Distinguishability and Entanglement
- Logarithmic coherence: Operational interpretation of -norm coherence
- Complete complementarity relations for multipartite pure states
- Measuring Quantum Coherence in Multi-Slit Interference
- Coherence, Interference and Visibility
- Wave-Particle Duality in N-Path Interference
- Ordering states with coherence measures
- Path Predictability and Quantum Coherence in Multi-Slit Interference
- Decoherence and Visibility Enhancement in Multi-Path Interference
- An uncertainty view on complementarity and a complementarity view on uncertainty
- Uncertainty relations for quantum coherence with respect to mutually unbiased bases
- A generalised multipath delayed-choice experiment on a large-scale quantum nanophotonic chip
- Experimental demonstration of wave-particle duality relation based on coherence measure
- Geometric coherence and quantum state discrimination
- Detecting and estimating coherence based on coherence witnesses
- Enhancing coherence of a state by stochastic strictly incoherent operations
- Generalized concurrence in boson sampling
- Coherence, Path-Predictability and I-Concurrence: A Triality
- Wave-particle duality of many-body quantum states
- Interference Visibility and Wave-Particle Duality in Multi-Path Interference
- On the role of dealing with quantum coherence in amplitude amplification
- Broadcasting Quantum Coherence via Cloning
- Entanglement Monotones from Complementarity Relations
- Coherence of operations and interferometry
- Teleportation of quantum coherence
- Wave Particle Duality in Asymmetric Beam Interference
- Complete complementarity relations: Connections with EPR realism and decoherence and extension to mixed quantum states
- Experimental Test of Relation between Coherence and Path Information
- Generalized Coherence Concurrence and Path distinguishability
- Complementary relation of quantum coherence and quantum correlations in multiple measurements
- Entanglement monotones connect distinguishability and predictability
- Remote Creation of Quantum Coherence
- Universal Method to Estimate Quantum Coherence
- Resource theory of quantum coherence with probabilistically non-distinguishable pointers and corresponding wave-particle duality
- Superadditivity of convex roof coherence measures
- Gouy phase in non-classical paths in triple-slit interference experiment
- Duality relation between coherence and path information in the presence of quantum memory
- Experimental quantum state discrimination using the optimal fixed rate of inconclusive outcomes strategy
- Experimental investigation of wave-particle duality relations in asymmetric beam interference
- Monitoring Decoherence via Measurement of Quantum Coherence
- Competition between finite-size effects and dipole-dipole interactions in few-atom systems
- Quantum information in neural systems
- Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers
- Simulation of wave-particle duality in multi-path interferometers on a quantum computer
- Complementarity Relation for Coherence and Disturbance
- Wave-particle duality relations based on entropic bounds for which-way information
- Complete complementarity relations and its Lorentz invariance
- Coherence quantifiers from the viewpoint of their decreases in the measurement process
- Sensitivity of entanglement measures in bipartite pure quantum states
- Quantum coherence versus interferometric visibility in a biased Mach-Zehnder interferometer
- Coherence and mixedness of neutrino oscillations in a magnetic field
- Unified framework for quantumness -- coherence, discord, and entanglement
- Double Slit with an Einstein-Podolsky-Rosen Pair
- Complete complementarity relations in curved spacetimes
- Impossibility of Cloning of Quantum Coherence
- Partial coherence versus entanglement
- Experimental tests of density matrix's properties-based complementarity relations
- Attainable and usable coherence in X states over Markovian and non-Markovian channels
- Geometric quantification of multiparty entanglement through orthogonality of vectors
- Quantifying Entanglement with Coherence
- Coherence and entropy complementarity relations of generalized wave-particle duality
- Dynamics of discrete-time quantum walk with time-correlated unitary noise
- Broadcasting of quantum correlations in qubit-qudit systems
- Quantitative Wave-Particle Duality
- Quantum search degeneration under amplitude noise in queries to the oracle
- Multipath wave-particle duality with a path detector in a quantum superposition
- An Updated Quantum Complementarity Principle
- Quantifying Superpositions Between Quantum Evolutions
- Mitigating the information degradation in a massive Unruh-DeWitt theory
- Multipath Wave-Particle Duality in Classical Optics
- Quantum asymmetry and noisy multi-mode interferometry
- Monogamy and trade-off relations for correlated quantum coherence
- Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator
- Quantum Coherence and Path-Distinguishability of Two Entangled Particles
- A generalized wave-particle duality relation for finite groups
- Characterization of Two-Particle Interference by Complementarity
- Quantum Eraser for Three-Slit Interference
- Operational connection between predictability and entanglement in entanglement swapping from partially entangled pure states
- Quantum coherence of spatial photonic qudits: experimental measurement and path-marker analysis
- Predictability as a quantum resource
- On the information behavior from quadratically coupled accelerated detectors
- Quantum eraser from duality--entanglement perspective
- Experimental investigation of quantum uncertainty relations with classical shadows
- Quantifying the particle aspect of quantum systems
- Partial Distinguishability as a Coherence Resource in Boson Sampling
- Role of quantum state texture in probing resource theories and quantum phase transition
- Wave-particle duality of light appearing in the intensity interferometric situation
- The Duality in Quantum Work
- Complete complementarity relations in system-environment decoherent dynamics
- The Geometric Structure of Quantum Resources for Bell-diagonal states
- Complementarity relations of a delayed-choice quantum eraser in a quantum circuit
- Robustness of interferometric complementarity under Decoherence
- Coherence via reiterated beam splitting
- Quantum coherence in neutrino spin-flavor oscillations
- Quantum coherence with incomplete set of pointers and corresponding wave-particle duality
- Triangle-like inequalities related to coherence and entanglement negativity
- Local predictability and coherence versus distributed entanglement in entanglement swapping from partially entangled pure states
- Characterisation of multi-level quantum coherence without ideal measurements
- Which-Way Measurement and Momentum Kicks
- Disturbance by optimal discrimination
- Measure-independent description of wave-particle duality via coherence
- Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality
- Polarization-orbital angular momentum duality assisted entanglement observation for indistinguishable photons
- Parameter estimation by decoherence in the double-slit experiment
- Unveiling quantum complementarity tradeoffs in relativistic scenarios
- Coherence measure of ensembles with nonlocality without entanglement
- Entanglement and quantum teleportation under superposed gravitational fields
- The tightness of multipartite coherence from spectrum estimation
- Partial particle and wave information and weak duality games
- The complementarity relations in a multi-path interferometer with quantum memory
- Single-quanta interferometry: which-way versus which-phase information stored in an ancillary quantum system
- Delayed-choice quantum erasers and the Einstein-Podolsky-Rosen paradox
- Dynamics of cohering and decohering power under Markovian channels
- Wave-Particle-Mixedness Complementarity
- Entanglement constraint on wave-particle duality for tripartite systems
- Controlling Quantum Coherence of V-type Atom in Dissipative Cavity by Detuning and Weak Measurement Reversal
- Impact of quadrature measurement on quantum coherence
- Efficient detection of localization transitions using predictability
- Velocity effects slightly mitigating the quantumness degradation of an Unruh-DeWitt detector
- Quantifying Decoherence
- Characterization of anomalous diffusion in one-dimensional quantum walks
- 'Complementarity' in paraxial and non-paraxial optical beams
- Quantitative Complementarity of Wave-Particle Duality
- Generalized rules for coherence transfer from local to global scale
- Comparing coherence measures for X states: Can quantum states be ordered based on quantum coherence?
- Direct estimation of quantum coherence by collective measurements
- Blind witnesses quench quantum interference without transfer of which-path information