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arXiv:2001.03428 · New Journal of Physics

Implementations of more general solid-state (SWAP) 1 / m and controlled-(swap) 1 / m gates

Wen-Qiang Liu, Hai-Rui Wei

Published Sep 24, 2019• 12 citations
arXivHTMLPDF

Abstract

Abstract Universal quantum gates are the core elements in quantum information processing. We design two schemes to realize more general (SWAP)1/m and controlled-(swap)1/m gates (for integer m ≥ 1 ) by directing flying single photons to solid-state quantum dots. The parameter m is easily controlled by adjusting two quarter-wave plates and one half-wave plate. Additional computational qubits are not required to construct the two gates. Evaluations of the gates indicate that our proposals are feasible with current experimental technology.

DOI
10.1088/1367-2630/ab4730

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Abstract Universal quantum gates are the core elements in quantum information processing. We design two schemes to realize more general (SWAP)1/m and controlled-(swap)1/m gates (for integer m ≥ 1 ) by directing flying single photons to solid-state quantum dots. The parameter m is easily controlled by adjusting two quarter-wave plates and one half-wave plate. Additional computational qubits are not required to construct the two gates. Evaluations of the gates indicate that our proposals are feasible with current experimental technology.
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We propose a scheme to implement quantum controlled SWAP gates by directing single-photon pulses to a two-sided cavity with a single trapped atom. The resultant gates can be used to realize quantum fingerprinting and universal photonic quantum computation. We present a theoretical model for our scheme and analyze its performance under practical noise, including spontaneous emission and randomness of atom-cavity coupling strength. It is shown that our scheme should be robust against practical imperfections in current cavity QED experiment setup.
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Implementations of Heralded Solid‐State SWAP and SWAPSWAP\sqrt {SWAP}SWAP​ Gates through Waveguide‐Assisted Interactions
Abstract Some heralded schemes are presented for realizing solid‐state quantum gates, including SWAP and gates. They are achieved by emitter‐photon scattering in 1D waveguides, and the qubits are encoded on the degenerate ground states of the solid‐state emitters. The schemes for these two quantum gates feature a filtering mechanism that the faulty scattering events between quantum emitters and photons can be mapped into the heralded photon losses. That is, the protocols can turn physical errors caused by system imperfections into the detection of photon polarization, which is advantageous for quantum information and quantum computation. Furthermore, no auxiliary solid‐state qubits are needed in our schemes, which reduces not only quantum resource but also error. The calculations reveal that the success probabilities and fidelities of the two quantum gates are high with current experimental technologies.
Universal quantum gates play a critical role in quantum information processing. Here, based on the scattering property of photons off single emitters in one-dimensional waveguides, we present some heralded protocols for realizing controlled-not, Toffoli, and Fredkin gates on hybrid systems. The control qubit of our gates is encoded on a flying photon, and the target qubits are encoded in the degenerate ground states of the emitter. In our schemes, the faulty scattering processes between emitters and photons caused by system imperfections can be transformed into the detection of photon polarization. That is, our three quantum gates are accomplished in a heralded way. Moreover, the quantum circuits for the three gates are versatile and compact, and no additional qubits are required. With current technique on manipulating the emitter-waveguide system, our protocols may be experimentally feasible. This work provides an effective avenue for implementing quantum logic gates.