Quantum Error Correction for State Transfer in Noisy Spin Chains

Abstract

Can robustness against experimental imperfections and noise be embedded into a quantum simulation? In this paper, we report on a special case in which this is possible. A spin chain can be engineered such that, in the absence of imperfections and noise, an unknown quantum state is transported from one end of the chain to the other, due only to the intrinsic dynamics of the system. We show that an encoding into a standard error correcting code (a Calderbank-Shor-Steane code) can be embedded into this simulation task such that a modified error correction procedure on read-out can recover from sufficiently low rates of noise during transport.

6 pages, 3 figures

References in corpus (15)

• Coupling Superconducting Qubits via a Cavity Bus
• Universal digital quantum simulation with trapped ions
• Mirror Inversion of Quantum States in Linear Registers
• Spin Chains as Perfect Quantum State Mirrors
• Coherent Quantum Transport in Photonic Lattices
• Perfect quantum state transfer with randomly coupled quantum chains
• Perfect state transfer on a spin-chain without state initialization
• Simulating chemistry efficiently on fault-tolerant quantum computers
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Perfect Quantum Routing in Regular Spin Networks
• Spin dynamics for bosons in an optical lattice
• State Transfer and Spin Measurement
• How long can a quantum memory withstand depolarizing noise?
• The Implications of Ignorance for Quantum Error Correction Thresholds

Cited by in corpus (11)

• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Generating Quantum States through Spin Chain Dynamics
• Combatting the Effects of Disorder in Quantum State Transfer
• Disorder-safe entanglement transfer through ladder qubit chains
• Pretty good state transfer via adaptive quantum error correction
• Perfect Coding for Dephased Quantum State Transfer
• Flat-band quantum communication induced by disorder
• Noise reducing encoding strategies for spin chains
• State Transfer in Noisy Modular Quantum Networks
• Quantum state transfer and periodicity in discrete-time quantum walks under non--Markovian dephasing noise