Quantum control gates with weak cross-Kerr nonlinearity

Abstract

In this paper, with the weak cross-Kerr nonlinearity, we first present a special experimental scheme called C-path gate with which the realization of all possible bipartite POVMs of two-photon polarization states can be simpler and nearly deterministic. Following the same technique, the schemes of the realization of quantum control gates have been proposed, including the CNOT gate (1/2), Fredkin gate (1/8), Toffoli gate (2/23), CU gate and even MCU gate. All these gates are scalable with the certain probabilities which are larger than those gates in linear optics. Less resource are required and the structures of these gates are so simple that we think they are feasible with current technology and may be useful for the realization of universal computation in optics.

12 pages, 4 figures

References in corpus (18)

• A near deterministic linear optical CNOT gate
• Experimental Controlled-NOT Logic Gate for Single Photons in the Coincidence Basis
• 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
• Linear Optics C-Phase gate made simple
• Demonstration of a simple entangling optical gate and its use in Bell-state analysis
• Demonstration of an optical quantum controlled-NOT gate without path interference
• Quantum Computation by Communication
• Experimental demonstration of a non-destructive controlled-NOT quantum gate for two independent photon-qubits
• Linear optics quantum Toffoli and Fredkin gates
• Quantum computation using weak nonlinearities: robustness against decoherence
• Effects of self-phase modulation on weak nonlinear optical quantum gates
• Optical Nondestructive Controlled-NOT Gate without Using Entangled Photons
• Quantum information processing via a lossy bus
• Methods for linear optical quantum Fredkin gate
• Linear optical Fredkin gate based on partial-SWAP gate
• All possible bipartite positive-operator-value measurements of two-photon polarization states

Cited by in corpus (35)

• Dark Matter Candidates from Particle Physics and Methods of Detection
• Complete hyperentangled-Bell-state analysis for quantum communication
• Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs
• Efficient two-step entanglement concentration for arbitrary W states
• Single-photon logic gates using minimal resources
• Cross-Kerr nonlinearity between continuous-mode coherent states and single photons
• Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity
• Resource-efficient linear-optical quantum router
• Processing multi-photon state through operation on single photon: methods and applications
• Photonic two-qubit parity gate with tiny cross-Kerr nonlinearity
• Efficient generation of universal two-dimensional cluster states with hybrid systems
• Deterministic CNOT gate and entanglement swapping for photonic qubits using a quantum-dot spin in a double-sided optical microcavity
• Highly Efficient Processing Multi-photon States
• Efficient entanglement concentration for arbitrary less-entangled N-atom state
• Kerr-effect-based quantum logical gates in decoherence-free subspace
• Giant Kerr nonlinearities and magneto-optical rotations in a Rydberg-atom gas via double electromagnetically induced transparency
• Quantum processing by remote quantum control
• Bi-directional mapping between polarization and spatially encoded photonic qutrits
• Probing the statistics of coherent states by continuous wave mixing on a single artificial atom
• Robust population inversion in three-level systems by composite pulses
• Witnessing non-objectivity in the framework of strong quantum Darwinism
• Addendum to "Single photon logic gates using minimum resources"
• One-step implementation of the genuine Fredkin gate in high-$Q$ coupled three-cavity arrays
• Efficient generation of NOON states on two microwave-photon resonators
• Efficient and flexible generation of entangled qudits with cross phase modulation
• Deterministic joint remote state preparation with a non-maximally entangled channel
• Nonlinear flip-flop quantum walks through potential barriers
• Efficient graph state generation and artificial error detection
• Nonlinear effects on the dynamics of quantum harmonic modes coupled through angular momentum
• Verifying cross-Kerr induced number squeezing: a case study
• Multiple multi-control unitary operations: implementation and applications
• Generating Gottesman-Kitaev-Preskill qubit using a cross-Kerr interaction between a squeezed light and Fock states in optics
• Demonstration of teleportation-based error correction in the IBM quantum computer
• Efficient entanglement concentration for arbitrary less-entangled NOON state assisted with single photon
• Universal quantum gates on electron-spin qubits with quantum dots inside single-side optical microcavities