Thermodynamic cost of creating correlations
arXiv:1404.2169 · doi:10.1088/1367-2630/17/6/065008
Abstract
We investigate the fundamental limitations imposed by thermodynamics for creating correlations. Considering a collection of initially uncorrelated thermal quantum systems, we ask how much classical and quantum correlations can be obtained via a cyclic Hamiltonian process. We derive bounds on both the mutual information and entanglement of formation, as a function of the temperature of the systems and the available energy. While for a finite number of systems there is a maximal temperature allowing for the creation of entanglement, we show that genuine multipartite entanglement---the strongest form of entanglement in multipartite systems---can be created at any temperature when sufficiently many systems are considered. This approach may find applications, e.g. in quantum information processing, for physical platforms in which thermodynamic considerations cannot be ignored.
17 pages, 3 figures, substantially rewritten with some new results
References in corpus (47)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Efficient classical simulation of slightly entangled quantum computations
- Scalable multi-particle entanglement of trapped ions
- Quantum metrology from a quantum information science perspective
- The second laws of quantum thermodynamics
- On the role of entanglement in quantum computational speed-up
- Extractable work from ensembles of quantum batteries. Entanglement helps
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- A nano heat engine beyond the Carnot limit
- The Physics of Maxwell's demon and information
- Separability of very noisy mixed states and implications for NMR quantum computing
- A Thermodynamical Approach to Quantifying Quantum Correlations
- The thermodynamic meaning of negative entropy
- Entanglement Generation is Not Necessary for Optimal Work Extraction
- Thermalizing Quantum Machines: Dissipation and Entanglement
- Measure of genuine multipartite entanglement with computable lower bounds
- An improved Landauer Principle with finite-size corrections
- Classification of multi-qubit mixed states: separability and distillability properties
- Experimental entanglement of a six-photon symmetric Dicke state
- Quantum-enhanced absorption refrigerators
- (Quantumness in the context of) Resource Theories
- Maximally entangled mixed states of two qubits
- Detecting multiparticle entanglement of Dicke states
- Entanglement enhances cooling in microscopic quantum fridges
- Maximally entangled mixed states in two qubits
- Quantifying entanglement resources
- Towards mechanical entanglement in nano-electromechanical devices
- Genuinely Multipartite Concurrence of N-qubit X-matrices
- Universal quantum computation with little entanglement
- Energy as an Entanglement Witness for Quantum Many-Body Systems
- The entropy vector formalism and the structure of multidimensional entanglement in multipartite systems
- Separable balls around the maximally mixed multipartite quantum states
- Thermodynamic Work Gain from Entanglement
- Entanglement criteria for Dicke states
- Determining lower bounds on a measure of multipartite entanglement from few local observables
- Validity of Landauer's principle in the quantum regime
- Thermal machines beyond the weak coupling regime
- Maximally and minimally correlated states attainable within a closed evolving system
- Separability from Spectrum for Qubit-Qudit States
- Entanglement detection in the vicinity of arbitrary Dicke states
- Experimental Quantum Networking Protocols via Four-Qubit Hyperentangled Dicke States
- Better bound on the exponent of the radius of the multipartite separable ball
- Optimal nonequilibrium entanglement of nanomechanical oscillators
- Detecting entanglement with a thermometer
- Quantum Mutual Information Along Unitary Orbits
- Bounds on the entanglability of thermal states in liquid-state nuclear magnetic resonance
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- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- Enhancing the charging power of quantum batteries
- Quantacell: Powerful charging of quantum batteries
- Extractable Work from Correlations
- Precision and Work Fluctuations in Gaussian Battery Charging
- Ideal Projective Measurements Have Infinite Resource Costs
- Generalized Laws of Thermodynamics in the Presence of Correlations
- Landauer vs. Nernst: What is the True Cost of Cooling a Quantum System?
- Energy Cost of Creating Quantum Coherence
- Clock-work trade-off relation for coherence in quantum thermodynamics
- Passivity and practical work extraction using Gaussian operations
- Work estimation and work fluctuations in the presence of non-ideal measurements
- Dynamical Entanglement
- Correlations as a resource in quantum thermodynamics
- A sufficient set of experimentally implementable thermal operations
- Entropy production and correlations in a controlled non-Markovian setting
- Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks
- Fundamental limits on the capacities of bipartite quantum interactions
- Work fluctuations and entanglement in quantum batteries
- Energetics of correlations in interacting systems
- The first law of general quantum resource theories
- Roadmap on Quantum Thermodynamics
- Optimal local work extraction from bipartite quantum systems in the presence of Hamiltonian couplings
- Landauer's Principle in a Quantum Szilard Engine Without Maxwell's Demon
- Quantitative wave-particle duality relations from the density matrix properties
- Minimal energy cost of entanglement extraction
- The Quantum Car
- Quantum Thermodynamics and Quantum Coherence Engines
- Fundamental limits on anomalous energy flows in correlated quantum systems
- Energy cost of entanglement extraction in complex quantum systems
- Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
- Trade-off Between Work and Correlations in Quantum Thermodynamics
- Catalytic leverage of correlations and mitigation of dissipation in Information erasure
- Designing Robust Quantum Refrigerators in Disordered Spin Models
- Quantum features and signatures of quantum-thermal machines
- Fluctuations of work cost in optimal generation of correlations
- Non-commutative space engine: a boost to thermodynamic processes
- Extracting work from correlated many-body quantum systems
- Minimising the heat dissipation of quantum information erasure
- Quantum Rayleigh problem and thermocoherent Onsager relations
- Revealing the strokes of autonomous quantum heat engines with work and heat fluctuations
- Correlations enable lossless ergotropy transport
- Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint
- Information Fluctuation Theorem for an Open Quantum Bipartite System
- Thermodynamically optimal creation of correlations
- Non-Commutative space: boon or bane for quantum engines and refrigerators
- Heat pump driven entirely by quantum correlation
- Entropy of the quantum work distribution
- Efficiently Cooling Quantum Systems with Finite Resources: Insights from Thermodynamic Geometry
- Quantum thermodynamics of two bosonic systems
- Mutual Information is not a Reliable Measure for Variations in Total Correlations
- Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction
- Relating Heat and Entanglement in Strong Coupling Thermodynamics
- Thermodynamically free quantum measurements
- Robustness of controlled Hamiltonian approaches to unitary quantum gates
- Deterministic preparation of supersinglets with collective spin projections
- Entanglement generation from athermality
- Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
- Activation of thermal states by coherently controlled thermalization processes
- Quantum many-body thermal machines enabled by atom-atom correlations
- Three qubits in less than three baths: Beyond two-body system-bath interactions in quantum refrigerators
- DQC1 as an Open Quantum System
- Allowed and Forbidden Bipartite Correlations from Thermal States
- Wormholes and the Thermodynamic Arrow of Time
- Single-shot energetic-based estimator for entanglement in a half-parity measurement setup
- Maximally genuine multipartite entangled mixed X-states of N-qubits
- Refrigeration via purification through repeated measurements
- A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
- Universal principles for sudden-quench quantum Otto engines
- Measuring multipartite quantum correlations by thermodynamic work extraction
- Anharmonicity can enhance the performance of quantum refrigerators
- Correlations and energy in mediated dynamics
- Irreversibility and correlations in coupled quantum oscillators
- Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics
- Preparation of quantum correlations assisted by a steering Maxwell demon
- Thermodynamic Constraints on the Emergence of Intersubjectivity in Quantum Systems
- Enhanced performance of sudden-quench quantum Otto cycles via multi-parameter control
- Thermality versus objectivity: can they peacefully coexist?
- Global-Local Duality of Energetic Control Cost in Multipartite Quantum Correlated Systems