Error-transparent evolution: the ability of multi-body interactions to bypass decoherence

Abstract

We observe that multi-body interactions, unlike two-body interactions, can implement any unitary operation on an encoded system in such a way that the evolution is uninterrupted by noise that the encoding is designed to protect against. Such "error-transparent" evolution is distinct from that usually considered in quantum computing, as the latter is merely correctable. We prove that the minimum body-ness required to protect i) a qubit from a single type of Pauli error, ii) a target qubit from a controller with such errors, iii) a single qubit from all errors, is 3-body, 4-body, and 5-body respectively. We also discuss applications to computing, coherent-feedback control, and quantum metrology. Finally we evaluate the performance of error-transparent evolution for some examples using numerical simulations.

7 pages, revtex4-1, 1 png figure

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• Error suppression and error correction in adiabatic quantum computation I: techniques and challenges
• Unification and limitations of error suppression techniques for adiabatic quantum computing
• Path-Independent Quantum Gates with Noisy Ancilla
• Error-transparent quantum gates for small logical qubit architectures
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model
• Photon-Number-Dependent Hamiltonian Engineering for Cavities
• Designing good bosonic quantum codes via creating destructive interference
• Algebraic structure of path-independent quantum control
• Lattice-enabled detection of spin-dependent three-body interactions
• A Mathematical Structure for Amplitude-Mixing Error-Transparent Gates for Binomial Codes