Improved Bounded-Strength Decoupling Schemes For Local Hamiltonians

Abstract

We address the task of switching off the Hamiltonian of a system by removing all internal and system-environment couplings. We propose dynamical decoupling schemes that use only bounded-strength controls for quantum many-body systems with local system Hamiltonians and local environmental couplings. To do so, we introduce the combinatorial concept of balanced-cycle orthogonal arrays (BOAs) and show how to construct them from classical error-correcting codes. The derived decoupling schemes may be useful as a primitive for more complex schemes, e.g., for Hamiltonian simulation. For the case of n qubits and a two-local Hamiltonian, the length of the resulting decoupling scheme scales as O(n log n), improving over the previously best-known schemes that scaled quadratically with n. More generally, using BOAs constructed from families of Bose-Chaudhuri-Hocquenghem (BCH) codes, we show that bounded-strength decoupling for any ℓ-local Hamiltonian, where ℓ ≥ 2, can be achieved using decoupling schemes of length at most O(nℓ-1 log n).

Publication Date

5-1-2016

Publication Title

IEEE Transactions on Information Theory

Volume

62

Issue

5

Number of Pages

2881-2894

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/TIT.2016.2535183

Socpus ID

84964888408 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84964888408

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