Quantum cloning

2005/11/08 by Valerio Scarani, S. Iblisdir, Sofyan Iblisdir +3 · 3 citations
Computer Science · Physics and Astronomy · #Biology #Cloning (programming) #Computational biology #Computer science #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum cloning #Quantum cryptography #Quantum information #Quantum mechanics #Quantum network #Quantum state #Quantum technology #Theoretical computer science #quant-ph

paper · pdf · doi:10.1103/revmodphys.77.1225

published as Rev. Mod. Phys. 77, 1225-1256 (2005)

openalex publication_date 2005/11/08 · arxiv created 2005/11/09 · arxiv updated 2009/12/01 · openalex created_date 2020/07/02 · openalex updated_date 2026/08/05

Abstract

The impossibility of perfectly copying (or cloning) an unknown quantum state is one of the basic rules governing the physics of quantum systems. The processes that perform the optimal approximate cloning have been found in many cases. These ``quantum cloning machines'' are important tools for studying a wide variety of tasks, e.g., state estimation and eavesdropping on quantum cryptography. This paper provides a comprehensive review of quantum cloning machines both for discrete-dimensional and for continuous-variable quantum systems. In addition, it presents the role of cloning in quantum cryptography, the link between optimal cloning and light amplification via stimulated emission, and the experimental demonstrations of optimal quantum cloning.

Citations

• Optimal photon cloning
• No-Signaling Condition and Quantum Dynamics
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Information-theoretic security proof for quantum-key-distribution protocols
• Improving the performance of probabilistic programmable quantum processors
• Distillation of secret key and entanglement from quantum states
• Symmetric Extensions of Quantum States and Local Hidden Variable Theories
• Security of Quantum Key Distribution Usingd-Level Systems
• Incoherent and coherent eavesdropping in the six-state protocol of quantum cryptography
• Tailoring photonic entanglement in high-dimensional Hilbert spaces
• Quantum cryptography: Security criteria reexamined
• Optimal Cloning of Coherent States with a Linear Amplifier and Beam Splitters
• Pauli Cloning of a Quantum Bit
• A single quantum cannot be cloned
• Optical realization of universal quantum cloning
• Noncommuting Mixed States Cannot Be Broadcast
• Quantum detection and estimation theory
• Economical phase-covariant cloning of qudits
• Quantum cloning without signaling
• Spin Flips and Quantum Information for Antiparallel Spins
• Optimal cloning for finite distributions of coherent states
• Security of two quantum cryptography protocols using the same four qubit states
• Optimal eavesdropping in quantum cryptography. II. A quantum circuit
• Communication by EPR devices
• Quantum Cryptography Protocols Robust against Photon Number Splitting Attacks for Weak Laser Pulse Implementations
• FLASH?A superluminal communicator based upon a new kind of quantum measurement
• Cloning a Qutrit
• Quantum copying: Beyond the no-cloning theorem
• Contextual, Optimal, and Universal Realization of the Quantum Cloning Machine and of the NOT Gate
• Non-Gaussian Cloning of Quantum Coherent States is Optimal
• Quantum limits on noise in linear amplifiers
• Quantum cloning of orthogonal qubits

Cited by

• Quantum secret sharing in tripartite superconducting network
• Selectively Blind Quantum Computation
• Colloquium: Multiparticle quantum superpositions and the quantum-to-classical transition