One-step implementation of a robust Fredkin gate based on path engineering
- PDF / 729,820 Bytes
- 16 Pages / 439.37 x 666.142 pts Page_size
- 90 Downloads / 170 Views
One-step implementation of a robust Fredkin gate based on path engineering Chun-Ling Zhang1,2 · Wen-Wu Liu1 · Xiu-Min Lin2 Received: 26 September 2019 / Accepted: 15 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In this paper, we propose a scheme to generate a Fredkin gate in a single step based on path engineering. The quantum Zeno dynamics is utilized to simplify the Hamiltonian. As a result, an effective Hamiltonian will be obtained to drive the system to evolve into the target state in a short time if reasonable parameters are set. In addition, the results of explicit numerical simulations indicate that the scheme is robust against the instability of experimental parameters and the decoherence arising from atomic spontaneous emission and cavity decay. Most importantly, our scheme is just a single step, which greatly simplifies actual operation. Keywords Fredkin gate · Path engineering · Quantum Zeno dynamics
1 Introduction In recent years, quantum computer is no longer just an idea, as people have put it into action [1–3]. Quantum computers use qubits to store information and manipulate qubits through quantum logic gates. Quantum logic gates are indispensable for building a quantum computer. To date, significant theoretical and experimental efforts have been devoted to studying quantum computing and quantum logic gates [4–11]. Universal two-qubit logic gates include controlled phase gate, SWAP gate, controlled-NOT gate, and so on. In the past, many schemes have been proposed for the preparations of quantum logic gates both experimentally and theoretically [12–18]. It is obvious that multi-qubit logic gate is required for large-scale quantum networks and quantum processors. As a typical three-qubit logic gate, the Fredkin gate plays an important role in quantum computation and quantum information processing, such as error correction
B
Chun-Ling Zhang [email protected]
1
College of Artificial Intelligence, Yango University, Fuzhou 350015, China
2
Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou 350117, China 0123456789().: V,-vol
123
265
Page 2 of 16
C.-L. Zhang et al.
[19,20], quantum cloning [21], quantum fingerprinting [22,23], and quantum digital signatures [24]. In the past, the Fredkin gate has been implemented with six [25], five [26] or four [27] two-qubit quantum logic gates. Moreover, to simplify operation, many one-step schemes for generating Fredkin gates have been proposed. For example, Shi et al. [28] proposed a scheme for one-step implementation of the Fredkin gate between three atoms in a bi-modal cavity based on quantum Zeno dynamics. Later, Liu et al. [29] proposed a scheme by utilizing the dispersive interaction in superconducting quantum circuit to implement a hybrid Fredkin gate with a superconducting flux qubit as the control qubit and two separated quantum memories as the target qudits. Recently, another scheme is proposed for impleme
Data Loading...
