Realization of Universal Optimal Quantum Machines by Projective Operators and Stochastic Maps
arXiv:quant-ph/0407176 · doi:10.1103/PhysRevA.70.052305
Abstract
Optimal quantum machines can be implemented by linear projective operations. In the present work a general qubit symmetrization theory is presented by investigating the close links to the qubit purification process and to the programmable teleportation of any generic optimal anti-unitary map. In addition, the contextual realization of the N ->M cloning map and of the teleportation of the N->(M-N) universal NOT gate is analyzed by a novel and very general angular momentum theory. An extended set of experimental realizations by state symmetrization linear optical procedures is reported. These include the 1->2 cloning process, the UNOT gate and the quantum tomographic characterization of the optimal partial transpose map of polarization encoded qubits.
11 pages, 7 figures
References in corpus (33)
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantum Teleportation is a Universal Computational Primitive
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Quantum Copying: Beyond the No-Cloning Theorem
- Optimal Quantum Cloning Machines
- Optimal Cloning of Pure States
- Complete quantum teleportation using nuclear magnetic resonance
- Incoherent and Coherent Eavesdropping in the 6-state Protocol of Quantum Cryptography
- Ancilla-assisted quantum process tomography
- Maximum efficiency of a linear-optical Bell-state analyzer
- Tomography of Quantum Operations
- Optimal universal quantum cloning and state estimation
- Experimental Quantum Cloning of Single Photons
- Direct detection of quantum entanglement
- Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles
- Spin flips and quantum information for anti-parallel spins
- Quantum copying: A network
- Fidelity of Single Qubit Maps
- Optimal Quantum Cloning via Stimulated Emission
- Optimal purification of single qubits
- Approximate Quantum Cloning with Nuclear Magnetic Resonance
- Quantum cloning with an optical fiber amplifier
- Teleportation scheme implementing contextually the Universal Optimal Quantum Cloning Machine and the Universal Not Gate. Complete experimental realization
- Imprinting a complete information about a quantum channel on its output state
- Probabilistic implementation of universal quantum processors
- Contextual, Optimal and Universal Realization of the Quantum Cloning Machine and of the NOT gate
- Exploiting quantum parallelism of entanglement for a complete experimental quantum characterization of a single qubit device
- Contextual Realization of the Universal Quantum Cloning Machine and of the Universal-NOT gate by Quantum Injected Optical Parametric Amplification
- Experimental Purification of Single Qubits
- Quantum Cloning and Distributed Measurements
- Optimal realization of the transposition maps
- Teleportation of the U-NOT Gate and Quantum Cloning: a Computational Network and Experimental Realization
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- Optimal quantum cloning of orbital angular momentum photon qubits via Hong-Ou-Mandel coalescence
- Quantum Cloning Machines and the Applications
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- Experimental quantum process tomography of non trace-preserving maps
- Separating the classical and quantum information via quantum cloning
- Realization of the 1->3 optimal phase-covariant quantum cloning machine
- Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
- Experimental quantum channel simulation
- Implementation of optimal phase-covariant cloning machines
- Experimental Implementation of the Universal Transpose Operation
- Entanglement localization after a coupling to incoherent noisy system
- Group-covariant extreme and quasi-extreme channels
- Entanglement, EPR correlations and mesoscopic quantum superposition by the high-gain quantum injected parametric amplification
- Experimental reversion of the optimal quantum cloning and flipping processes
- Complete analysis of measurement-induced entanglement localization on a three-photon system
- Realization of the Optimal Universal Quantum Entangler
- Completely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs
- Experimental demonstration of error-insensitive approximate universal-NOT gates
- Experimental entanglement restoration on entanglement-breaking channels