Witnessing quantum coherence with prior knowledge of observables
arXiv:2311.10503 · doi:10.1103/PhysRevA.109.032422
Abstract
Quantum coherence is the key resource in quantum technologies including faster computing, secure communication and advanced sensing. Its quantification and detection are, therefore, paramount within the context of quantum information processing. Having certain priori knowledge on the observables may enhance the efficiency of coherence detection. In this work, we posit that the trace of the observables is a known quantity. Our investigation confirms that this assumption indeed extends the scope of coherence detection capabilities. Utilizing this prior knowledge of the trace of the observables, we establish a series of coherence detection criteria. We investigate the detection capabilities of these coherence criteria from diverse perspectives and ultimately ascertain the existence of four distinct and inequivalent criteria. These findings contribute to the deepening of our understanding of coherence detection methodologies, thereby potentially opening new avenues for advancements in quantum technologies.
arXiv comment9 pages, 3 figures
References in corpus (46)
- Quantum entanglement
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantifying Coherence
- Entanglement detection
- 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
- Robustness of coherence: An operational and observable measure of quantum coherence
- Vibrations, Quanta and Biology
- Catalytic Coherence
- Intrinsic randomness as a measure of quantum coherence
- The resource theory of informational nonequilibrium in thermodynamics
- Low-temperature thermodynamics with quantum coherence
- Quantum coherence and geometric quantum discord
- Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
- Robustness of asymmetry and coherence of quantum states
- Max- relative entropy of coherence: an operational coherence measure
- Measuring Coherence with Entanglement Concurrence
- The role of coherence in the non-equilibrium thermodynamics of quantum systems
- Resource theory of coherence based on positive-operator-valued measures
- Probabilistic distillation of quantum coherence
- Certification and Quantification of Multilevel Quantum Coherence
- Quantifying quantum coherence and non-classical correlation based on Hellinger distance
- Quantifying coherence with respect to general quantum measurements
- Coherence measures with respect to general quantum measurements
- Detecting and estimating coherence based on coherence witnesses
- When different entanglement witnesses detect entangled states simultaneously
- Coherence as a resource for source-independent quantum random-number generation
- Coherence measure: Logarithmic coherence number
- Quantitative Coherence Witness for Finite Dimensional States
- Quantifying coherence in terms of the pure-state coherence
- Quantum Coherence Witness with Untrusted Measurement Devices
- Epsilon-smooth measure of coherence
- Universal Method to Estimate Quantum Coherence
- Quantifying coherence in terms of Fisher information
- Examining the validity of Schatten--norm-based functionals as coherence measures
- Converting coherence based on positive-operator-valued measures into entanglement
- Estimating quantum coherence by noncommutativity of any observable and its incoherent part
- Tomographic Witnessing and Holographic Quantifying of Coherence
- Entangled states in the role of witnesses
- Common Coherence Witnesses and Common Coherent States
- The hierarchies of "witnesses" and the properties and characterization of entangled states as super entanglement witnesses
- Coherence filtration under strictly incoherent operations
- Incoherent witnessing of quantum coherence