Probabilistic quantum logic operations using polarizing beam splitters

By T. Pittman, B. Jacobs, J. Franson. 2001

318 citations recorded by the source corpus.

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 he 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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/b6363d0a0c9b9f07aca82d91c7b8645b2f4fd4b5

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Heralded generation of entangled photon pairs (2010, methodology): “[5] Pittman, T.”
Linear optical quantum computing with photonic qubits (2005, methodology): “11 The CNOT gate by Pittman et al. (2001).”
Multiphoton entanglement and interferometry (2008, background): “The type-I fusion is also known as parity check (Pan and Zeilinger, 1998; Pan et al., 2001b; Cerf et al., 1998; Pittman et al., 2001).”
Large-scale silicon quantum photonics implementing arbitrary two-qubit processing (2018, background): “[7] TB Pittman, BC Jacobs, and JD Franson.”
Direct generation of three-photon polarization entanglement (2014, unknown): “This task, known to be useful for applications such as quantum repeaters [16], loophole-free Bell tests [17] and optical quantum computing [18, 19], is in theory easily achieved with an appropriate three-photon state but does not work if this state is created with SPDC and outcome postselection.”
Single-photon sources (2005, methodology): “In this scheme (Pittman et al 2001), the quantum logic operation is performed using polarization-encoded qubits.”