Role of quantum state texture in probing resource theories and quantum phase transition

Abstract

Building on the recently developed quantum state texture resource theory, we exhibit that the difference between maximum and minimum textures is a valid purity monotone in any dimension and provide a lower bound for existing purity measures. We introduce a texture-based resource monotone applicable across general convex resource theories, encompassing quantum coherence, non-stabilizerness, and entanglement. In particular, we propose the notion of non-local texture, which corresponds to the geometric measure of bipartite and multipartite entanglement in pure states. Furthermore, we demonstrate that the texture of the entire ground state or its subsystems can effectively signal quantum phase transitions in the Ising chain under both transverse and longitudinal magnetic fields, offering a powerful tool for characterizing quantum criticality.

arXiv commentv2: 12 pages and 3 figures, with minor changes and close to the published version

References in corpus (70)

• Quantum entanglement
• Mixed State Entanglement and Quantum Error Correction
• Concentrating Partial Entanglement by Local Operations
• Quantifying Coherence
• Quantifying Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• Quantum Coherence as a Resource
• The classical-quantum boundary for correlations: discord and related measures
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Entanglement in a simple quantum phase transition
• Entanglement Measures and Purification Procedures
• Quantum principal component analysis
• Quantum Resource Theories
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Sudden Death of Entanglement
• Operational Resource Theory of Coherence
• Measuring Quantum Coherence with Entanglement
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• The second laws of quantum thermodynamics
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• General Entanglement Breaking Channels
• The Resource Theory of Stabilizer Computation
• Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
• Direct estimations of linear and non-linear functionals of a quantum state
• Universal Quantum Estimator
• Entanglement of pure states for a single copy
• Quantum discord and quantum phase transition in spin chains
• Application of a resource theory for magic states to fault-tolerant quantum computing
• A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
• The resource theory of informational nonequilibrium in thermodynamics
• Stabilizer Formalism for Operator Quantum Error Correction
• Simulation of quantum circuits by low-rank stabilizer decompositions
• Relating the Resource Theories of Entanglement and Quantum Coherence
• Duality of Quantum Coherence and Path Distinguishability
• Reversible transformations from pure to mixed states, and the unique measure of information
• Quantum discord and its allies: a review
• Relations between coherence and path information
• A derivation (and quantification) of the third law of thermodynamics
• Variational Quantum State Diagonalization
• Coherence depletion in the Grover quantum search algorithm
• Maximal Coherence and the Resource Theory of Purity
• Variational Quantum State Eigensolver
• Entanglement and coherence in quantum state merging
• Resource Destroying Maps
• Channel Capacities versus Entanglement Measures in Multiparty Quantum States
• A device for feasible fidelity, purity, Hilbert-Schmidt distance and entanglement witness measurements
• Coherence susceptibility as a probe of quantum phase transitions
• Linking a distance measure of entanglement to its convex roof
• Stabilizer entropies are monotones for magic-state resource theory
• The quantum Ising chain for beginners
• Interferometric visibility and coherence
• Thermal vs. Entanglement Entropy: A Measurement Protocol for Fermionic Atoms with a Quantum Gas Microscope
• Demonstrating quantum coherence and metrology that is resilient to transversal noise
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Coherence orders, decoherence and quantum metrology
• Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
• Generalized Geometric Measure of Entanglement for Multiparty Mixed States
• A Quantitative Measure of Interference
• Determining eigenvalues of a density matrix with minimal information in a single experimental setting
• Contrast in Multipath Interference and Quantum Coherence
• Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
• Quantum-state texture and gate identification
• Entanglement scaling at first order phase transitions
• Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
• All entangled states are quantum coherent with locally distinguishable bases
• Quantum metrology and coherence
• Shared Purity of Multipartite Quantum States
• Resource Theory of Non-absolute Separability
• Coherence measure of ensembles with nonlocality without entanglement
• Measuring polynomial functions of states