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.

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

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Cited by in corpus (36)

• Catalytic Transformations of Pure Entangled States
• Catalysis of entanglement and other quantum resources
• 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