2000/12/29 by Wolfgang Dür, W. Dür, J. I. Cirac · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1103/physreva.64.012317
published as Phys. Rev. A 64, 012317 (2001) · 15 pages, no figures
arxiv created 2000/12/29 · openalex publication_date 2001/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide several applications of a previously introduced isomorphism between physical operations acting on two systems and entangled states [Phys. Rev. Lett. 86, 544 (2001)]. We show (i) how to implement (weakly) nonlocal two-qubit unitary operations with a small amount of entanglement; (ii) that a known, noisy, nonlocal unitary operation as well as an unknown, noisy, local unitary operation can be purified; (iii) how to perform the tomography of arbitrary, unknown, nonlocal operations; (iv) that a set of local unitary operations as well as a set of nonlocal unitary operations can be stored and compressed; and (v) how to implement probabilistically two-qubit gates for photons. We also show how to compress a set of bipartite entangled states locally, as well as how to implement certain nonlocal measurements using a small amount of entanglement. Finally, we generalize some of our results to multiparty systems.