Efficient and perfect state transfer in quantum chains

Abstract

We present a communication protocol for chains of permanently coupled qubits which achieves perfect quantum state transfer and which is efficient with respect to the number chains employed in the scheme. The system consists of $M$ uncoupled identical quantum chains. Local control (gates, measurements) is only allowed at the sending/receiving end of the chains. Under a quite general hypothesis on the interaction Hamiltonian of the qubits a theorem is proved which shows that the receiver is able to asymptotically recover the messages by repetitive monitoring of his qubits.

6 pages, 2 figures; new material added

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Cited by in corpus (50)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Unmodulated spin chains as universal quantum wires
• Spin Chains as Perfect Quantum State Mirrors
• Entanglement entropy in quantum impurity systems and systems with boundaries
• Experimental Perfect Quantum State Transfer
• Communication at the quantum speed limit along a spin chain
• Multiuser quantum communication networks
• Improved transfer of quantum information using a local memory
• Optimal quantum chain communication by end gates
• Quantum Impurity Entanglement
• Dynamics and Control of a Quasi-1D Spin System
• Transfer of arbitrary two qubit states via a spin chain
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Universal destabilization and slowing of spin transfer functions by a bath of spins
• Adiabatic Quantum Transport in a Spin Chain with a Moving Potential
• The Generalized Lyapunov Theorem and its Application to Quantum Channels
• Quantum communication beyond the localization length in disordered spin chains
• Transfer of a Polaritonic Qubit through a Coupled Cavity Array
• Perfect function transfer and interference effects in interacting boson lattices
• Use of dynamical coupling for improved quantum state transfer
• Permutation-invariant codes encoding more than one qubit
• Arbitrary perfect state transfer in $d$-level spin chains
• Universal Existence of Exact Quantum State Transmissions in Interacting Media
• Perfect State Transfer in Two and Three Dimensional Structures
• Information-flux approach to multiple-spin dynamics
• Wave packet transmission of Bloch electron manipulated by magnetic field
• Quantum communication via a continuously monitored dual spin chain
• Robustness of spin-chain state-transfer schemes
• Quantum state transfer with untuneable couplings
• High fidelity state transfer in binary tree spin networks
• Breaking the Speed Limit for Perfect Quantum State Transfer
• Information transfer rates in spin quantum channels
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Entanglement creation and distribution on a graph of exchange-coupled qutrits
• Pretty good state transfer via adaptive quantum error correction
• Impurity Entanglement in the $J-J_2-\delta$ Quantum Spin Chain
• Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
• General Quantum State Swap: an XY model analysis
• Perfect state transfer on hypercubes and its implementation using superconducting qubits
• Time independent quantum circuits with local interactions
• Communication Through a Quantum Link
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Noise effects in perfect transmission of quantum states
• State Transfer in Latent-Symmetric Networks
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Noise reducing encoding strategies for spin chains
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Designing spin channel geometries for entanglement distribution
• Incorporating Encoding into Quantum System Design
• Expediting quantum state transfer through the long-range extended XY model