1. Improved Entanglement‐Based High‐Dimensional Optical Quantum Computation with Linear Optics.
- Author
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Gao, Huan‐Chao, Song, Guo‐Zhu, and Wei, Hai‐Rui
- Subjects
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OPTICAL quantum computing , *QUANTUM gates , *QUANTUM information science , *DEGREES of freedom , *CIRCUIT complexity , *QUANTUM computers - Abstract
Quantum gates are the essential block for quantum computers. High‐dimensional quantum gates exhibit remarkable advantages over their 2D counterparts for some quantum information processing tasks. Here, a family of entanglement‐based optical controlled‐SWAP gates on C2⊗Cd⊗Cd$\mathbb {C}^{2}\otimes \mathbb {C}^{d}\otimes \mathbb {C}^{d}$ is presented. With the hybrid encoding, the control qubits and target qudits are encoded in photonic polarization and spatial degrees of freedom, respectively. The circuit is constructed using only (2+3d)$(2+3d)$ (d≥2$d\ge 2$) linear optics, beating an earlier result of 14 linear optics with d=2$d=2$. The circuit depth five is much lower than an earlier result of 11 with d=2$d=2$. Besides, the fidelity of the presented circuit can reach 99.4%, and it is higher than the previous counterpart with d=2$d=2$. The scheme is constructed in a deterministic way without any borrowed ancillary photons or measurement‐induced nonlinearities. Moreover, the approach allows d>2$d>2$. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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