Activating Hidden Teleportation Power: Theory and Experiment

Abstract

Ideal quantum teleportation transfers an unknown quantum state intact from one party Alice to the other Bob via the use of a maximally entangled state and the communication of classical information. If Alice and Bob do not share entanglement, the maximal average fidelity between the state to be teleported and the state received, according to a classical measure-and-prepare scheme, is upper bounded by a function $f_{\mathrm{c}}$ that is inversely proportional to the Hilbert space dimension. In fact, even if they share entanglement, the so-called teleportation fidelity may still be less than the classical threshold $f_{\mathrm{c}}$. For two-qubit entangled states, conditioned on a successful local filtering, the teleportation fidelity can always be activated, i.e., boosted beyond $f_{\mathrm{c}}$. Here, for all dimensions larger than two, we show that the teleportation power hidden in a subset of entangled two-qudit Werner states can also be activated. In addition, we show that an entire family of two-qudit rank-deficient states violates the reduction criterion of separability, and thus their teleportation power is either above the classical threshold or can be activated. Using hybrid entanglement prepared in photon pairs, we also provide the first proof-of-principle experimental demonstration of the activation of teleportation power hidden in this latter family of qubit states. The connection between the possibility of activating hidden teleportation power with the closely-related problem of entanglement distillation is discussed.

arXiv comment6 + 12 pages, 13 figures, 4 tables. v3 virtually the same as the published version

References in corpus (47)

• Quantum entanglement
• Experimental quantum teleportation
• Bell nonlocality
• Efficient classical simulation of slightly entangled quantum computations
• 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?
• Advances in Quantum Teleportation
• Remote State Preparation
• Quantum metrology from a quantum information science perspective
• Resource-efficient linear optical quantum computation
• Entanglement monotones
• A simple formula for the average gate fidelity of a quantum dynamical operation
• On the role of entanglement in quantum computational speed-up
• Quantum teleportation using active feed-forward between two Canary Islands
• Optical quantum computation using cluster states
• Long distance quantum teleportation of qubits from photons at 1300 nm to photons at 1550 nm wavelength
• Quantum process tomography of a controlled-NOT gate
• Bell's inequalities and density matrices. Revealing hidden nonlocality.
• Quantum teleportation in high dimensions
• Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer
• Verified Quantum Information Scrambling
• Remote state preparation: arbitrary remote control of photon polarization
• Teleportation, Bell's Inequalities and Inseparability
• Experimental high-dimensional quantum teleportation
• Evidence for Bound Entangled States with Negative Partial Transpose
• Distillability and partial transposition in bipartite systems
• Low-Entanglement Remote State Preparation
• Collective tests for quantum nonlocality
• Local environment can enhance fidelity of quantum teleportation
• Quantum fidelity measures for mixed states
• Optimal teleportation with a mixed state of two qubits
• Closed timelike curves via post-selection: theory and experimental demonstration
• All bipartite entangled states display some hidden nonlocality
• All entangled states are useful for information processing
• Measuring Controlled-NOT and two-qubit gate operation
• Unitarity of black hole evaporation in final-state projection models
• All entangled states can demonstrate non-classical teleportation
• All quantum states useful for teleportation are nonlocal resources
• Entanglement witness operator for quantum teleportation
• A Note on Fully Entangled Fraction
• All entangled states display some hidden nonlocality
• Revealing of hidden quantum steerability using local filtering operations
• Distillation of quantum steering
• Optimal linear optical implementation of a single-qubit damping channel
• Complete Entanglement Witness for Quantum Teleportation
• Quantum teleportation mediated by surface plasmon polariton

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• Experimental virtual distillation of entanglement and coherence
• Absolute fully entangled fraction from spectrum
• Gain in Performance of Teleportation with Uniformity-breaking Distributions
• Repeater-Based Quantum Communication Protocol: Maximizing Teleportation Fidelity with Minimal Entanglement
• Experimental single-copy distillation of quantumness from higher-dimensional entanglement
• Locally inaccessible hidden quantum correlations
• On fully entangled fraction and quantum conditional entropies for states with maximally mixed marginals
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources
• Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations
• Compact non-degenerate entangled-photon source and near-infrared-to-telecom quantum teleportation