Probabilistic manipulation of entangled photons

Abstract

We propose probabilistic controlled-NOT and controlled-phase gates for qubits stored in the polarization of photons. The gates are composed of linear optics and photon detectors, and consume polarization entangled photon pairs. The fraction of the successful operation is only limited by the efficiency of the Bell-state measurement. The gates work correctly under the use of imperfect detectors and lossy transmission of photons. Combined with single-qubit gates, they can be used for producing arbitrary polarization states and for designing various quantum measurements.

4 pages, 3 figures

Cited by in corpus (47)

• Review article: Linear optical quantum computing
• Multi-photon entanglement and interferometry
• Optical Quantum Computing
• Continuous-variable optical quantum state tomography
• Quantum process tomography of a controlled-NOT gate
• A Quantum Rosetta Stone for Interferometry
• Probabilistic Quantum Logic Operations Using Polarizing Beam Splitters
• Experimental Controlled-NOT Logic Gate for Single Photons in the Coincidence Basis
• Realization of a photonic CNOT gate sufficient for quantum computation
• Demonstration of an optical quantum controlled-NOT gate without path interference
• Simple Scheme for Efficient Linear Optics Quantum Gates
• Charge detection enables free-electron quantum computation
• Demonstration of Non-Deterministic Quantum Logic Operations using Linear Optical Elements
• Experimental demonstration of a non-destructive controlled-NOT quantum gate for two independent photon-qubits
• Quantum relays and noise suppression using linear optics
• High-fidelity quantum logic operations using linear optical elements
• Linear optics and projective measurements alone suffice to create large-photon-number path entanglement
• Generalized measurements by linear elements
• Measurement-induced Nonlinearity in Linear Optics
• Experimental nonlinear sign shift for linear optics quantum computation
• The Photonic Module: an on-demand resource for photonic entanglement
• Demonstration of Feed-Forward Control for Linear Optics Quantum Computation
• Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers
• Multipartite entanglement purification with quantum nondemolition detectors
• An All Linear Optical Quantum Memory Based on Quantum Error Correction
• Teleportation implementation of non-deterministic quantum logic operations by using linear optical elements
• Upper bounds on success probabilities in linear optics
• Conditional linear-optical measurement schemes generate effective photon nonlinearities
• Zeno logic gates using micro-cavities
• Group transformations and entangled-state quantum gates with directionally unbiased linear-optical multiports
• Experimental Demonstration of a Quantum Circuit using Linear Optics Gates
• Single Photon Source Using Laser Pulses and Two-Photon Absorption
• Generation of entangled ancilla states for use in linear optics quantum computing
• Heralded Two-Photon Entanglement from Probabilistic Quantum Logic Operations on Multiple Parametric Down-Conversion Sources
• High-Fidelity Z-Measurement Error Correction of Optical Qubits
• Entanglement-assisted scheme for nondemolition detection of the presence of a single photon
• Linear-optical implementations of the iSWAP and controlled NOT gates based on conventional detectors
• Mach-Zehnder interferometer using frequency-domain beamsplitter
• Perturbation theory for quantum-mechanical observables
• Comparison of LOQC C-sign gates with ancilla inefficiency and an improvement to functionality under these conditions
• Persistency of non-n-local correlations in noisy linear networks
• A Hybrid and Universal Blind Quantum Computation
• Linear optics implementation of general two-photon projective measurement
• Linear optics substituting scheme for multi-mode operations
• Experimental demonstration of quantum leader election in linear optics
• Experimental entanglement swapping through single-photon ${\chi }^{(2)}$ nonlinearity
• Bosonic randomized benchmarking with passive transformations