Entanglement generation from athermality
arXiv:2403.04842 · doi:10.1103/PhysRevResearch.6.033236
Abstract
We investigate the thermodynamic constraints on the pivotal task of entanglement generation using out-of-equilibrium states through a model-independent framework with minimal assumptions. We establish a necessary and sufficient condition for a thermal process to generate bipartite qubit entanglement, starting from an initially separable state. Consequently, we identify the set of system states that cannot be entangled, when no external work is invested. In the regime of infinite temperature, we analytically construct this set; while for finite temperature, we provide a simple criterion to verify whether any given initial state is or is not entanglable. Furthermore, we provide an explicit construction of the future thermal cone of entanglement - the set of entangled states that a given separable state can thermodynamically evolve to. We offer a detailed discussion on the properties of this cone, focusing on the interplay between entanglement and its volumetric properties. We conclude with several key remarks on the generation of entanglement beyond two-qubit systems, and discuss its dynamics in the presence of dissipation.
arXiv comment19 pages, 10 figures. Comments welcome
References in corpus (53)
- Quantum entanglement
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Three qubits can be entangled in two inequivalent ways
- Distributed Entanglement
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- Quantum Thermodynamics
- Fundamental limitations for quantum and nano thermodynamics
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- The second laws of quantum thermodynamics
- Extractable work from ensembles of quantum batteries. Entanglement helps
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Classification of mixed three-qubit states
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Preparation and Detection of a Mechanical Resonator Near the Ground State of Motion
- Quantum coherence, time-translation symmetry and thermodynamics
- Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
- The resource theory of informational nonequilibrium in thermodynamics
- Entanglement induced by a single-mode heat environment
- Entanglement Generation is Not Necessary for Optimal Work Extraction
- Entangled light from white noise
- (Quantumness in the context of) Resource Theories
- Extractable Work from Correlations
- Maximally entangled mixed states of two qubits
- Maximally entangled mixed states in two qubits
- An introductory review of the resource theory approach to thermodynamics
- Autonomous quantum thermal machine for generating steady-state entanglement
- Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
- Thermodynamic cost of creating correlations
- Steady state entanglement in open and noisy quantum systems at high temperature
- Steady state entanglement of two superconducting qubits engineered by dissipation
- Elementary Thermal Operations
- Heat-Bath Algorithmic Cooling with optimal thermalization strategies
- Catalysis of entanglement and other quantum resources
- Steady entanglement out of thermal equilibrium
- Gaussian Thermal Operations and the Limits of Algorithmic Cooling
- Energetics of correlations in interacting systems
- Entanglement and its dynamics in open, dissipative systems
- Continuous thermomajorization and a complete set of laws for Markovian thermal processes
- Decomposability and Convex Structure of Thermal Processes
- Fundamental limits on anomalous energy flows in correlated quantum systems
- Structure of the thermodynamic arrow of time in classical and quantum theories
- Catalysis in Action via Elementary Thermal Operations
- Thermal Processes and State Achievability
- Catalytic transformations for thermal operations
- Bounding the resources for thermalizing many-body localized systems
- A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
- Impossibility of bosonic autonomous entanglement engines in the weak-coupling limit
- Seven definitions of bipartite bound entanglement