Exchange-Only Dynamical Decoupling in the 3-Qubit Decoherence Free Subsystem

Abstract

The Uhrig dynamical decoupling sequence achieves high-order decoupling of a single system qubit from its dephasing bath through the use of bang-bang Pauli pulses at appropriately timed intervals. High-order decoupling of single and multiple qubit systems from baths causing both dephasing and relaxation can also be achieved through the nested application of Uhrig sequences, again using single-qubit Pauli pulses. For the 3-qubit decoherence free subsystem (DFS) and related subsystem encodings, Pauli pulses are not naturally available operations; instead, exchange interactions provide all required encoded operations. Here we demonstrate that exchange interactions alone can achieve high-order decoupling against general noise in the 3-qubit DFS. We present decoupling sequences for a 3-qubit DFS coupled to classical and quantum baths and evaluate the performance of the sequences through numerical simulations.

References in corpus (10)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Optimized Dynamical Decoupling in a Model Quantum Memory
• How to Enhance Dephasing Time in Superconducting Qubits
• Coherent spin manipulation in an exchange-only qubit
• Dynamical decoupling sequence construction as a filter-design problem
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Protection of quantum systems by nested dynamical decoupling

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• Dynamically Generated Decoherence-Free Subspaces and Subsystems on Superconducting Qubits
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• Experimental protection of arbitrary states in a two-qubit subspace by nested Uhrig dynamical decoupling
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• Concatenating quantum error-correcting codes with decoherence-free subspaces and vice versa
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