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Efficient quantum computation within a disordered Heisenberg spin chain

2004/04/30 by Chiu Fan Lee, Neil F. Johnson
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mtrl-sci #quant-ph

paper · pdf · doi:10.1103/physreva.70.052322

published as Phys. Rev. A 70, 052322 (2004) · To appear in Phys. Rev. A

arxiv created 2004/09/07 · openalex publication_date 2004/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that efficient quantum computation is possible using a disordered Heisenberg spin-chain with ``always-on'' couplings. Such disorder occurs naturally in nanofabricated systems. Considering a simple chain setup, we show that an arbitrary two-qubit gate can be implemented using just three relaxations of a controlled qubit, which amounts to switching the on-site energy terms at most 21 times.

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