Catalytic quantum teleportation and beyond

Abstract

We address fundamental limitations of quantum teleportation -- the process of transferring quantum information using classical communication and preshared entanglement. We develop a new teleportation protocol based upon the idea of using ancillary entanglement catalytically, i.e. without depleting it. This protocol is then used to show that catalytic entanglement allows for a noiseless quantum channel to be simulated with a quality that could never be achieved using only entanglement from the shared state, even for catalysts with a small dimension. On the one hand, this allows for a more faithful transmission of quantum information using generic states and a fixed amount of consumed entanglement. On the other hand, this shows, for the first time, that entanglement catalysis provides a genuine advantage in a generic quantum-information processing task. Finally, we show that similar ideas can be directly applied to study quantum catalysis for more general problems in quantum mechanics. As an application, we show that catalysts can activate so-called passive states, a concept that finds widespread application e.g. in quantum thermodynamics.

arXiv comment6 + 6 pages, 2 figures. Updated acknowledgments and references. Close to accepted version

References in corpus (55)

• Quantum entanglement
• Experimental quantum teleportation
• Concentrating Partial Entanglement by Local Operations
• Quantum Teleportation is a Universal Computational Primitive
• Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Quantum teleportation between light and matter
• Advances in Quantum Teleportation
• The second laws of quantum thermodynamics
• Quantum Teleportation with a Complete Bell State Measurement
• Extractable work from ensembles of quantum batteries. Entanglement helps
• Robustness of coherence: An operational and observable measure of quantum coherence
• Unconditional quantum teleportation between distant solid-state qubits
• Quantum Teleportation Between Distant Matter Qubits
• Complete quantum teleportation using nuclear magnetic resonance
• Catalytic Coherence
• Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
• Exact and Asymptotic Measures of Multipartite Pure State Entanglement
• Entanglement-assisted local manipulation of pure quantum states
• Experimental investigation of continuous variable quantum teleportation
• Realization of Deterministic Quantum Teleportation with Solid State Qubits
• Robustness of asymmetry and coherence of quantum states
• The black hole final state
• Efficient Teleportation between Remote Single-Atom Quantum Memories
• Information Flow in Entangled Quantum Systems
• Memory-built-in quantum teleportation with photonic and atomic qubits
• Long distance quantum teleportation in a quantum relay configuration
• General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
• Teleportation as a quantum computation
• Quantum Teleportation from a Propagating Photon to a Solid-State Spin Qubit
• Asymptotic teleportation scheme as a universal programmable quantum processor
• Closed timelike curves via post-selection: theory and experimental demonstration
• Indistinguishability of elementary systems as resource for quantum information processing
• Embezzling Entangled Quantum States
• Quantum teleportation between remote atomic-ensemble quantum memories
• Catalytic Conversion Probabilities for Bipartite Pure States
• Necessary and Sufficient Conditions for the Trumping Relation
• Unitarity of black hole evaporation in final-state projection models
• Comment on "The black hole final state"
• High-fidelity continuous-variable quantum teleportation toward multi-step quantum operations
• Quantifying resource in catalytic resource theory
• Quantum thermodynamics of correlated-catalytic state conversion at small-scale
• The trumping relation and the structure of the bipartite entangled states
• Catalytic coherence transformations
• Operational interpretation of weight-based resource quantifiers in convex quantum resource theories of states
• Energetic instability of passive states in thermodynamics
• Multiple-copy entanglement transformation and entanglement catalysis
• Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
• Entropy and reversible catalysis
• Catalytic majorization and ${\ell }_p$ norms
• Fundamental limitations to local energy extraction in quantum systems
• Necessary conditions on entanglement catalysts
• Amplifying asymmetry with correlated catalysts
• The variance of relative surprisal as single-shot quantifier
• Stochastic domination for iterated convolutions and catalytic majorization

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• Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
• Entropy and reversible catalysis
• Fundamental Limits on Correlated Catalytic State Transformations
• Operational definition of the temperature of a quantum state
• Is there a finite complete set of monotones in any quantum resource theory?
• Fundamental limits on anomalous energy flows in correlated quantum systems
• Correlations in typicality and an affirmative solution to the exact catalytic entropy conjecture
• Catalytic leverage of correlations and mitigation of dissipation in Information erasure
• Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation
• Catalytic Transformations in Coherence Theory
• Catalysis in Action via Elementary Thermal Operations
• No-go theorem for entanglement distillation using catalysis
• Coherence manipulation in asymmetry and thermodynamics
• Covariant catalysis requires correlations and good quantum reference frames degrade little
• Entanglement catalysis for quantum states and noisy channels
• Catalytic and asymptotic equivalence for quantum entanglement
• Quantum catalysis in cavity quantum electrodynamics
• Complete Characterization of Entanglement Embezzlement
• Catalytic transformations for thermal operations
• Teleportation with Embezzling Catalysts
• Entanglement Dynamics of Two V-type Atoms with Dipole-Dipole Interaction in Dissipative Cavity
• Transcendental properties of entropy-constrained sets
• Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• Communication with Quantum Catalysts
• Role of energy-invariant assistants in energy extraction from quantum batteries
• Experimental Catalytic Amplification of Asymmetry
• Asymptotic teleportation schemes bridging between standard and port-based teleportation
• Decoding Quantum Search Advantage: The Critical Role of State Properties in Random Walks
• Catalytic Activation of Bell Nonlocality
• Multipartite entanglement theory with entanglement-nonincreasing operations
• Static and dynamic coherence fraction in the Bernstein-Vazirani algorithm
• Finite-size catalysis in quantum resource theories
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources
• Advantage of flexible catalysis for entanglement and quantum thermodynamics