Coherence-mixedness trade-offs

Abstract

Quantum coherence constitutes a foundational characteristic of quantum mechanics and is integral to emerging quantum resource theories. However, quantum coherence is severely restricted by environmental noise in general quantum processing, indicated by the loss of information of a quantum system. Such processing can be described by the trade-offs between the coherence and the mixedness. Based on the $l_2$ norm coherence, conditional von Neumann entropy and Wigner-Yanase skew information, we derive basis-independent constraints on the attainable quantum coherence imposed by the mixedness of a quantum state, which generalize the prior basis-dependent relations, provide fundamental insights into the latent coherence resources present within arbitrary quantum systems that undergo decoherence and quantify the inherent limits on extractable coherence imposed by environmental noise.

References in corpus (32)

• Quantifying Coherence
• Operational Resource Theory of Coherence
• Measuring Quantum Coherence with Entanglement
• Fundamental limitations for quantum and nano thermodynamics
• The second laws of quantum thermodynamics
• A nano heat engine beyond the Carnot limit
• Robustness of coherence: An operational and observable measure of quantum coherence
• Observable measure of quantum coherence in finite dimensional systems
• Catalytic Coherence
• Quantum coherence, time-translation symmetry and thermodynamics
• Work extraction and thermodynamics for individual quantum systems
• The extraction of work from quantum coherence
• Quantum coherence and geometric quantum discord
• Quantum coherence and uncertainty in the anisotropic XY chain
• Quantum Coherence and Ergotropy
• Quantum Coherence via Skew Information and Its Polygamy
• Max- relative entropy of coherence: an operational coherence measure
• Increasing thermoelectric performance using coherent transport
• Quantum-coherence quantifiers based on the Tsallis relative $\alpha$-entropies
• Complementarity relations for quantum coherence
• Quantum-Coherent Nanoscience
• Entanglement, Coherence, and Extractable Work in Quantum Batteries
• Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
• Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
• Mixed state sensitivity of several quantum information benchmarks
• Quantifying quantum coherence and non-classical correlation based on Hellinger distance
• Family of coherence measures and duality between quantum coherence and path distinguishability
• Estimation on geometric measure of quantum coherence
• Quantum coherence quantifiers based on the Rényi $\alpha$-relative entropy
• Coherence measure: Logarithmic coherence number
• Properties of subentropy
• Entropic uncertainty relations with quantum memory in a multipartite scenario

Cited by in corpus (1)

• Uncertainty relations for unified ($\alpha$,$\beta$)-relative entropy of coherence under mutually unbiased equiangular tight frames