Quantum copying: Beyond the no-cloning theorem

1996/07/20 by Vladimír Bužek, Vladimir Buzek, Mark Hillery +1 · 22 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.54.1844

RevTex, 26 pages, to appear in Physical Review A

arxiv created 1996/07/20 · openalex publication_date 1996/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We analyze the possibility of copying (that is, cloning) arbitrary states of a quantum-mechanical spin-1/2 system. We show that there exists a ``universal quantum-copying machine'' (i.e., transformation) which approximately copies quantum-mechanical states such that the quality of its output does not depend on the input. We also examine a machine which combines a unitary transformation and a selective measurement to produce good copies of states in the neighborhood of a particular state. We discuss the problem of measurement of the output states. \textcopyright 1996 The American Physical Society.

Citations

• Noncommuting Mixed States Cannot Be Broadcast
• A single quantum cannot be cloned

Cited by

• Separating the Classical and Quantum Information via Quantum Cloning
• Cloning and quantum computation
• Implementation of optimal phase-covariant cloning machines
• Optimal broadcasting of mixed states
• Weak cloning of an unknown quantum state
• Nonlocal operations: Purification, storage, compression, tomography, and probabilistic implementation
• Incoherent and coherent eavesdropping in the six-state protocol of quantum cryptography
• Spin Flips and Quantum Information for Antiparallel Spins
• Economical quantum cloning in any dimension
• Probabilistic implementation of universal quantum processors
• Phase-covariant cloning of coherent states
• Achievable efficiencies for probabilistically cloning the states
• Optimal photon cloning
• Information transfer and fidelity in quantum copiers
• Twelve years before the quantum no-cloning theorem
• No-Broadcasting Theorem and Its Classical Counterpart
• Advances in quantum teleportation
• Spin‐Spacetime Censorship
• Teleportation Systems Toward a Quantum Internet
• Multiparty teleportation
• Teleportation of qubit states through dissipative channels: Conditions for surpassing the no-cloning limit
• No-cloning theorem [wikipedia]