Kerr-effect-based quantum logical gates in decoherence-free subspace
arXiv:2306.05625 · doi:10.22331/q-2024-05-13-1342
Abstract
The decoherence effect caused by the coupling between the system and the environment undoubtedly leads to the errors in efficient implementations of two (or three) qubit logical gates in quantum information processing. Fortunately, decoherence-free subspace (DFS) introduced can effectively decrease the influence of decoherence effect. In this paper, we propose some schemes for setting up a family of quantum control gates, including controlled-NOT (CNOT), Toffoli, and Fredkin gates for two or three logical qubits by means of cross-Kerr nonlinearities in DFS. These three logical gates require neither complicated quantum computational circuits nor auxiliary photons (or entangled states). The success probabilities of three logical gates are approximate 1 by performing the corresponding classical feed-forward operations based on the different measuring results of the X-homodyne detectors, and their fidelities are robust against the photon loss with the current technology. The proposed logical gates rely on only simple linear-optics elements, available single-qubit operations, and mature measurement methods, making our proposed gates be feasible and efficient in practical applications.
17 pages, 16 figures
References in corpus (14)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Stationary pulses of light in an atomic medium
- Multiphoton Quantum Optics and Quantum State Engineering
- Quantum control gates with weak cross-Kerr nonlinearity
- Large Cross-Phase Modulation between Slow Co-propagating Weak Pulses in Rb
- Single-photon logic gates using minimal resources
- Discrimination of binary coherent states using a homodyne detector and a photon number resolving detector
- Low-cost Fredkin gate with auxiliary space
- Linear optical Fredkin gate based on partial-SWAP gate
- Transfer and teleportation of quantum states encoded in decoherence-free subspace
- Entanglement creation with negative index metamaterials
- Optimal synthesis of the Fredkin gate in a multilevel system
- Many-qubit network employing cavity QED in a decoherence-free subspace
- Robust-fidelity hyperparallel controlled-phase-flip gate through microcavities