Processing multi-photon state through operation on single photon: methods and applications
arXiv:0909.3879 · doi:10.1103/PhysRevA.80.042311
Abstract
Multi-photon states are widely applied in quantum information technology. By the methods presented in this paper, the structure of a multi-photon state in the form of multiple single photon qubit product can be mapped to a single photon qudit, which could also be in separable product with other photons. This makes the possible manipulation of such multi-photon states in the way of processing single photon states. The optical realization of unknown qubit discrimination [B. He, J. A. Bergou, and Y.-H. Ren, Phys. Rev. A 76, 032301 (2007)] is simplified with the transformation methods. Another application is the construction of quantum logic gates, where the inverse transformations back to the input state spaces are also necessary. We especially show that the modified setups to implement the transformations can realize the deterministic multi-control gates (including Toffoli gate) operating directly on the products of single photon qubits.
Published version in Phys. Rev. A
References in corpus (26)
- Quantum Cryptography
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Elementary gates for quantum computation
- Review article: Linear optical quantum computing
- Resource-efficient linear optical quantum computation
- A near deterministic linear optical CNOT gate
- Experimental Quantum Error Correction
- Optimal Quantum Circuits for General Two-Qubit Gates
- Probabilistic Quantum Logic Operations Using Polarizing Beam Splitters
- Weak nonlinearities: A new route to optical quantum computation
- A symmetry analyser for non-destructive Bell state detection using EIT
- Efficient Toffoli Gates Using Qudits
- A universal quantum circuit for two-qubit transformations with three CNOT gates
- Postselected versus nonpostselected quantum teleportation using parametric down-conversion
- Quantum control gates with weak cross-Kerr nonlinearity
- Creation of high-quality long-distance entanglement with flexible resources
- Linear optics quantum Toffoli and Fredkin gates
- A universal programmable quantum state discriminator that is optimal for unambiguously distinguishing between unknown states
- Scheme for generating coherent state superpositions with realistic cross-Kerr nonlinearity
- Entangling spins by measuring charge: a parity-gate toolbox
- Maximal Success Probabilities of Linear-Optical Quantum Gates
- Implementation of quantum operations on single photon qudits
- Universal discriminator for completely unknown optical qubits
- A general approach to physical realization of unambiguous quantum-state discrimination
- Programmable unknown quantum-state discriminators with multiple copies of program and data: A Jordan basis approach
- Compact Toffoli gate using weighted graph states
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- Highly Efficient Processing Multi-photon States
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- Addendum to "Single photon logic gates using minimum resources"
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