2006/02/27 by Jaromı́r Fiurášek, Jaromir Fiurasek · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Controlled NOT gate #Mathematics #Photon #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum circuit #Quantum computer #Quantum error correction #Quantum gate #Quantum mechanics #Qubit #Toffoli gate #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.73.062313
published as Phys. Rev. A 73, 062313 (2006). · 8 pages, 4 figures, RevTeX4
arxiv created 2006/02/27 · openalex publication_date 2006/06/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We design linear-optics multiqubit quantum logic gates. We assume the traditional encoding of a qubit onto the state of a single photon in two modes (e.g., spatial or polarization). We suggest schemes allowing direct probabilistic realization of the fundamental Toffoli and Fredkin gates without resorting to a sequence of single- and two-qubit gates. This yields more compact schemes and potentially reduces the number of ancilla photons. The proposed setups involve passive linear optics, sources of auxiliary single photons or maximally entangled pairs of photons, and single-photon detectors. In particular, we propose an interferometric implementation of the Toffoli gate in the coincidence basis, which does not require any ancilla photons and is experimentally feasible with current technology.