Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities

Abstract

Encoding qubits in multiple degrees of freedom (DOFs) of a quantum system allows less-decoherence quantum information processing with much less quantum resources. We present a compact and scalable quantum circuit to determinately implement a hyper-parallel controlledcontrolled-phase-flip (hyper-C 2 PF) gate on a three-photon system in both the polarization and spatial DOFs. In contrast with the one with many qubits encoding in one DOF only, our hyper-C 2 PF gate operating two independent C 2 PF gates on a three-photon system with less decoherence, and reduces the quantum resources required in quantum information processing by a half. Additional photons, necessary for many approaches, are not required in the present scheme. Our calculation shows that this hyper-C 2 PF gate is feasible in experiment. References and links 1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, Cambridge, 2000). 2. F. Vatan and C. Williams, "Optimal quantum circuits for general two-qubit gates," Phys. Rev. A 69, 032315 (2004). 3. G. Feng, G. Xu, and G. Long, "Experimental realization of nonadiabatic holonomic quantum computation," Phys.Rev. Lett. 110, 190501 (2013). 4. Y. Liu, G. L. Long, and Y. Sun, "Analytic one-bit and CNOT gate constructions of general n-qubit controlled gates," Int. J. Quantum Inf. 6, 447-462 (2008). 5. A. C. Santosand and M. S. Sarandy, "Superadiabatic controlled evolutions and universal quantum computation," Sci. Rep. 5, 15775 (2015). 6. M. Zwerger, H. J. Briegel, and W. Dür, "Hybrid architecture for encoded measurement-based quantum computation," Sci. Rep. 4, 5364 (2014). 7. A. Reiserer, N. Kalb, G. Rempe, and S. Ritter, "A quantum gate between a flying optical photon and a single trapped atom," Nature (London) 508, 237-240 (2014

Error-heralded generation and self-assisted complete analysis of two-photon hyperentangled Bell states through single-sided quantum-dot-cavity systems

“…In order to further improve the quantum channel capacity, beat the limit of linear photonic superdense coding [19], we can also encode the quantum information in more than one degrees of freedom. Hyperentanglement [20][21][22][23][24][25][26][27], which means particles are simultaneously entangled in multiple degrees of freedom (DOFs), becomes a key resource in high-capacity quantum communication [28][29][30][31][32][33][34][35][36][37][38]. Currently, the preparation of hyperentangled states in different DOFs, such as polarization-momentum DOFs [22], polarization-orbital- * email: zhangmei@bnu.edu.cn angular momentum DOFs [23], and multipath DOFs [24], are already available.…”

Quantum hyperentanglement and its applications in quantum information processing

“…Different from conventional parallel quantum computation in which the states of quantum systems in one DOF or equivalent are used to encode information, hyperparallel photonic quantum computation performs universal quantum gate operations on two-photon or multiphoton systems by encoding all the quantum states of each photon in multiple DOFs (two or more DOFs) as information carriers [58][59][60][61][62]. With hyperparallel photonic quantum logic gates, the resource consumption can be reduced largely and the photonic dispassion noise can be depressed in quantum circuit [60].…”

High‐Fidelity Hybrid Quantum Gates between a Flying Photon and Diamond Nitrogen‐Vacancy Centers Assisted by Low‐Q Single‐Sided Cavities

“…Over the past decades, many physical systems have been researched for quantum computation, such as ion traps, nuclear magnetic resonance (NMR), quantum dots (QDs), superconducting circuits, diamond nitrogen‐vacancy (NV) centers, photons with one degree of freedom (DOF) or with multiple DOFs, and hybrid systems . Among these systems, the hybrid system composed of a flying photon and a few NV centers is considered a very attractive candidate.…”