Enhancing coherence of a state by stochastic strictly incoherent operations

Abstract

In this paper, we address the issue of enhancing coherence of a state under stochastic strictly incoherent operations. Based on the $l_1$ norm of coherence, we obtain the maximal value of coherence that can be achieved for a state undergoing a stochastic strictly incoherent operation and the maximal probability of obtaining the maximal coherence. Our findings indicate that a pure state can be transformed into a maximally coherent state under a stochastic strictly incoherent operation if and only if all the components of the pure state are nonzero while a mixed state can never be transformed into a maximally coherent state under a stochastic strictly incoherent operation.

arXiv comment7 pages

References in corpus (43)

• Quantum entanglement
• Advances in Quantum Metrology
• Quantum-enhanced measurements: beating the standard quantum limit
• Quantifying Coherence
• Quantum Coherence as a Resource
• Operational Resource Theory of Coherence
• Measuring Quantum Coherence with Entanglement
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Quantum entanglement in photosynthetic light harvesting complexes
• Robustness of coherence: An operational and observable measure of quantum coherence
• Vibrations, Quanta and Biology
• Observable measure of quantum coherence in finite dimensional systems
• Catalytic Coherence
• Quantum coherence, time-translation symmetry and thermodynamics
• The resource theory of quantum reference frames: manipulations and monotones
• Converting Coherence to Quantum Correlations
• Intrinsic randomness as a measure of quantum coherence
• Frozen Quantum Coherence
• Quantum coherence in multipartite systems
• Extending Noether's theorem by quantifying the asymmetry of quantum states
• Open-System Dynamics of Entanglement
• Relating the Resource Theories of Entanglement and Quantum Coherence
• Duality of Quantum Coherence and Path Distinguishability
• Assisted distillation of quantum coherence
• Relations between coherence and path information
• A quantitative theory of coherent delocalization
• Distribution of quantum coherence in multipartite systems
• Conditions for coherence transformations under incoherent operations
• Alternative framework for quantifying coherence
• Measuring Coherence with Entanglement Concurrence
• Entanglement and coherence in quantum state merging
• Genuine quantum coherence
• Quantum processes which do not use coherence
• Measure-Independent Freezing of Quantum Coherence
• Purifying noisy entanglement requires collective measurements
• Quantifying Coherence in Infinite Dimensional Systems
• Maximally coherent states and coherence-preserving operations
• Entangled Mixed States and Local Purification
• Optimal Entanglement Enhancement for Mixed States
• Catalytic coherence transformations
• Measures of coherence generating power for quantum unital operations
• Optimal quantum operations at zero energy cost
• Remote Creation of Quantum Coherence

Cited by in corpus (22)

• Quantum coherence of multiqubit states in correlated noisy channels
• Deterministic Coherence Distillation
• Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States
• Optimal distillation of quantum coherence with reduced waste of resources
• Efficient estimation of multipartite quantum coherence
• Superadditivity of convex roof coherence measures
• Optimal probabilistic distillation of quantum coherence
• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
• Based-nonequilibrium-environment non-Markovianity, quantum Fisher information and quantum coherence
• Mobility Edges in one-dimensional Models with quasi-periodic disorder
• Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
• Attainable and usable coherence in X states over Markovian and non-Markovian channels
• Approximate distillation of quantum coherence
• Quantum Fisher information and coherence of an atom in a dissipative cavity
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• Criterion for a state to be distillable via stochastic incoherent operations
• Coherence filtration under strictly incoherent operations
• Quantifying Coherence with Untrusted Devices
• Stronger superadditivity relations for multiqubit systems
• Coherent preorder of quantum states
• Closed expressions for one-qubit states of convex roof coherence measures