PROJECT TITLE :
Improved Bounded-Strength Decoupling Schemes for Local Hamiltonians
We address the task of switching off the Hamiltonian of a system by removing all internal and system-atmosphere couplings. We have a tendency to propose dynamical decoupling schemes that use solely bounded-strength controls for quantum many-body systems with local system Hamiltonians and native environmental couplings. To do therefore, we tend to 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 additional complex schemes, e.g., for Hamiltonian simulation. For the case of qubits and a 2-native Hamiltonian, the length of the resulting decoupling theme scales as , improving over the previously best-known schemes that scaled quadratically with . Additional generally, using BOAs constructed from families of Bose-Chaudhuri-Hocquenghem (BCH) codes, we show that bounded-strength decoupling for any -local Hamiltonian, where , can be achieved using decoupling schemes of length at most .
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