Optimal Port-based Teleportation

Abstract

Deterministic port-based teleportation (dPBT) protocol is a scheme where a quantum state is guaranteed to be transferred to another system without unitary correction. We characterize the best achievable performance of the dPBT when both the resource state and the measurement is optimized. Surprisingly, the best possible fidelity for an arbitrary number of ports and dimension of the teleported state is given by the largest eigenvalue of a particular matrix -- Teleportation Matrix. It encodes the relationship between a certain set of Young diagrams and emerges as the the optimal solution to the relevant semidefinite program.

32 pages, 3 figures

References in corpus (4)

• Asymptotic teleportation scheme as a universal programmable quantum processor
• Quantum teleportation scheme by selecting one of multiple output ports
• Port-based teleportation in arbitrary dimension
• Higher-dimensional performance of port-based teleportation

Cited by in corpus (30)

• Optimal probabilistic storage and retrieval of unitary channels
• Semidefinite programming relaxations for quantum correlations
• Quantum speedup in the identification of cause-effect relations
• Asymptotic performance of port-based teleportation
• Efficient multi port-based teleportation schemes
• Implementation of quantum measurements using classical resources and only a single ancillary qubit
• Generalization of port-based teleportation and controlled teleportation capability
• Characterising port-based teleportation as a universal simulator of qubit channels
• Multiport based teleportation -- transmission of a large amount of quantum information
• Optimality of the pretty good measurement for port-based teleportation
• Optimal Multi-port-based Teleportation Schemes
• On the Duality of Teleportation and Dense Coding
• Probabilistic storage and retrieval of qubit phase gates
• Minimal Port-based Teleportation
• Classification of joint quantum measurements based on entanglement cost of localization
• Linear programming with unitary-equivariant constraints
• Continuous variable port-based teleportation
• Storage and retrieval of von Neumann measurements
• Port-based entanglement teleportation via noisy resource states
• The Asymmetric Quantum Cloning Region
• Teleportation of Post-Selected Quantum States
• Port-Based State Preparation and Applications
• Positive maps from the walled Brauer algebra
• Port-based telecloning of an unknown quantum state
• Asymptotic teleportation schemes bridging between standard and port-based teleportation
• From port-based teleportation to Frobenius reciprocity theorem: partially reduced irreducible representations and their applications
• Square-root measurements and degradation of the resource state in port-based teleportation scheme
• Randomness-free Detection of Non-projective Measurements: Qubits & beyond
• A resource theory of asynchronous quantum information processing
• On the distinguishability of geometrically uniform quantum states