scholarly journals Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion

2021 ◽  
Author(s):  
Ming-Zhong Ai ◽  
Sai Li ◽  
Ran He ◽  
Zheng-Yuan Xue ◽  
Jin-Ming Cui ◽  
...  
Keyword(s):  
Quantum Gates ◽  
Experimental Realization ◽  
Trapped Ion ◽  
Single Qubit

scholarly journals Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Optimal Control in a Trapped Ion

2020 ◽  
Vol 14 (5) ◽  
Author(s):  
Ming-Zhong Ai ◽  
Sai Li ◽  
Zhibo Hou ◽  
Ran He ◽  
Zhong-Hua Qian ◽  
...  
Keyword(s):  
Optimal Control ◽  
Quantum Gates ◽  
Experimental Realization ◽  
Trapped Ion ◽  
Single Qubit

scholarly journals DECOMPOSITION OF UNITARY MATRICES AND QUANTUM GATES

2013 ◽  
Vol 11 (01) ◽  
pp. 1350015 ◽  
Author(s):  
CHI-KWONG LI ◽  
REBECCA ROBERTS ◽  
XIAOYAN YIN
Keyword(s):  
General Scheme ◽  
Quantum Gate ◽  
Quantum Gates ◽  
Unitary Matrix ◽  
Additional Structure ◽  
Unitary Matrices ◽  
Decomposition Scheme ◽  
Single Qubit ◽  
Matlab Program

A general scheme is presented to decompose a d-by-d unitary matrix as the product of two-level unitary matrices with additional structure and prescribed determinants. In particular, the decomposition can be done by using two-level matrices in d - 1 classes, where each class is isomorphic to the group of 2 × 2 unitary matrices. The proposed scheme is easy to apply, and useful in treating problems with the additional structural restrictions. A Matlab program is written to implement the scheme, and the result is used to deduce the fact that every quantum gate acting on n-qubit registers can be expressed as no more than 2n-1(2n-1) fully controlled single-qubit gates chosen from 2n-1 classes, where the quantum gates in each class share the same n - 1 control qubits. Moreover, it is shown that one can easily adjust the proposed decomposition scheme to take advantage of additional structure evolving in the process.

Experimental Realization of Multi-ion Sympathetic Cooling on a Trapped Ion Crystal

2021 ◽  
Vol 127 (14) ◽  
Author(s):  
Z.-C. Mao ◽  
Y.-Z. Xu ◽  
Q.-X. Mei ◽  
W.-D. Zhao ◽  
Y. Jiang ◽  
...  
Keyword(s):  
Sympathetic Cooling ◽  
Experimental Realization ◽  
Trapped Ion

scholarly journals Quantum gate teleportation between separated qubits in a trapped-ion processor

Science ◽  
2019 ◽  
Vol 364 (6443) ◽  
pp. 875-878 ◽  
Author(s):  
Yong Wan ◽  
Daniel Kienzler ◽  
Stephen D. Erickson ◽  
Karl H. Mayer ◽  
Ting Rei Tan ◽  
...  
Keyword(s):  
Confidence Level ◽  
Large Scale ◽  
Ion Trap ◽  
Quantum Gate ◽  
Quantum Computers ◽  
Mixed Species ◽  
Cnot Gate ◽  
Classical Communication ◽  
Trapped Ion ◽  
Single Qubit

Large-scale quantum computers will require quantum gate operations between widely separated qubits. A method for implementing such operations, known as quantum gate teleportation (QGT), requires only local operations, classical communication, and shared entanglement. We demonstrate QGT in a scalable architecture by deterministically teleporting a controlled-NOT (CNOT) gate between two qubits in spatially separated locations in an ion trap. The entanglement fidelity of our teleported CNOT is in the interval (0.845, 0.872) at the 95% confidence level. The implementation combines ion shuttling with individually addressed single-qubit rotations and detections, same- and mixed-species two-qubit gates, and real-time conditional operations, thereby demonstrating essential tools for scaling trapped-ion quantum computers combined in a single device.

scholarly journals Measuring the Tangle of Three-Qubit States

Entropy ◽  
2020 ◽  
Vol 22 (4) ◽  
pp. 436 ◽  
Author(s):  
Adrián Pérez-Salinas ◽  
Diego García-Martín ◽  
Carlos Bravo-Prieto ◽  
José Latorre
Keyword(s):  
Direct Measurement ◽  
Canonical Form ◽  
Quantum Circuit ◽  
Quantum Gates ◽  
Tripartite Entanglement ◽  
Single Qubit ◽  
Optimal Values ◽  
Random States ◽  
Qubit States ◽  
Computational Basis

We present a quantum circuit that transforms an unknown three-qubit state into its canonical form, up to relative phases, given many copies of the original state. The circuit is made of three single-qubit parametrized quantum gates, and the optimal values for the parameters are learned in a variational fashion. Once this transformation is achieved, direct measurement of outcome probabilities in the computational basis provides an estimate of the tangle, which quantifies genuine tripartite entanglement. We perform simulations on a set of random states under different noise conditions to asses the validity of the method.

scholarly journals Experimental Realization of Robust Geometric Quantum Gates with Solid-State Spins

2019 ◽  
Vol 122 (1) ◽  
Author(s):  
Y.-Y. Huang ◽  
Y.-K. Wu ◽  
F. Wang ◽  
P.-Y. Hou ◽  
W.-B. Wang ◽  
...  
Keyword(s):  
Solid State ◽  
Quantum Gates ◽  
Experimental Realization

Experimental demonstration of optimized quantum process tomography on the IBM quantum experience

2020 ◽  
pp. 2040004
Author(s):  
Akshay Gaikwad ◽  
Krishna Shende ◽  
Kavita Dorai
Keyword(s):  
Quantum Circuit ◽  
Quantum Gates ◽  
Experimental Demonstration ◽  
Superconducting Qubit ◽  
Quantum Process ◽  
Single Qubit ◽  
Quantum Process Tomography ◽  
Process Tomography ◽  
Quantum Processor ◽  
Least Squares Optimization

We experimentally performed complete and optimized quantum process tomography of quantum gates implemented on superconducting qubit-based IBM QX2 quantum processor via two constrained convex optimization (CCO) techniques: least squares optimization and compressed sensing optimization. We studied the performance of these methods by comparing the experimental complexity involved and the experimental fidelities obtained. We experimentally characterized several two-qubit quantum gates: identity gate, a controlled-NOT gate, and a SWAP gate. The general quantum circuit is efficient in the sense that the data needed to perform CCO-based process tomography can be directly acquired by measuring only a single qubit. The quantum circuit can be extended to higher dimensions and is also valid for other experimental platforms.

scholarly journals The experimental realization of high-fidelity ‘shortcut-to-adiabaticity’ quantum gates in a superconducting Xmon qubit

2018 ◽  
Vol 20 (6) ◽  
pp. 065003 ◽  
Author(s):  
Tenghui Wang ◽  
Zhenxing Zhang ◽  
Liang Xiang ◽  
Zhilong Jia ◽  
Peng Duan ◽  
...  
Keyword(s):  
Quantum Gates ◽  
High Fidelity ◽  
Experimental Realization

Adiabatic holonomic quantum gates for a single qubit

2014 ◽  
Vol T160 ◽  
pp. 014029 ◽  
Author(s):  
Vladimir S Malinovsky ◽  
Sergey Rudin
Keyword(s):  
Quantum Gates ◽  
Single Qubit

Scalable trapped ion quantum computation with a probabilistic ion-photon mapping

2004 ◽  
Vol 4 (3) ◽  
pp. 165-173
Author(s):  
L.-M. Duan ◽  
B.B. Blinov ◽  
D.L. Moehring ◽  
C. Monroe
Keyword(s):  
Quantum Computation ◽  
Coulomb Interaction ◽  
Large Scale ◽  
Trapped Ions ◽  
Quantum Gates ◽  
Photon Mapping ◽  
Trapped Ion ◽  
Experimental Noise

We propose a method for scaling trapped ions for large-scale quantum computation and communication based on a probabilistic ion-photon mapping. Deterministic quantum gates between remotely located trapped ions can be achieved through detection of spontaneously-emitted photons, accompanied by the local Coulomb interaction between neighboring ions. We discuss gate speeds and tolerance to experimental noise for different probabilistic entanglement schemes.

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