2001/07/22 by T. B. Pittman, B. C. Jacobs, J. D. Franson · 8 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Beam splitter #Computer science #Controlled NOT gate #Electronic engineering #Engineering #Mathematics #Physics #Probabilistic logic #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum circuit #Quantum computer #Quantum error correction #Quantum gate #Quantum logic #Quantum mechanics #Quantum network #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.64.062311
published as Phys. Rev. A 64, 062311 (2001) · 9 pages, RevTex; Submitted to Phys. Rev. A; additional references inlcuded
arxiv created 2001/07/22 · openalex publication_date 2001/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It has previously been shown that probabilistic quantum logic operations may be performed using linear optical elements, additional photons (ancilla), and post-selection based on the output of single-photon detectors. Here we describe the operation of several quantum logic operations of an elementary nature, including a quantum parity check and a quantum encoder, and we show how they may be combined to implement a controlled-NOT (CNOT) gate. All of these gates may be constructed using polarizing beam splitters that completely transmit one state of polarization and totally reflect the orthogonal state of polarization, which allows a simple explanation of each operation. We also describe a polarizing beam splitter implementation of a CNOT gate that is closely analogous to the quantum teleportation technique previously suggested by Gottesman and Chuang [Nature 402, 390 (1999)]. Finally, our approach has the interesting feature that it makes practical use of a quantum-eraser technique.