Optimized Unconventional Geometric Gates in Superconducting Circuits
Nonadiabatic Abelian geometric quantum computation has been extensively studied, due to its fast manipulation and inherent noise resistance. However, to obtain the pure geometric phase, the quantum state is required to evolve along some special paths to eliminate the dynamical phase. This leads to i...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-03-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/13/6/4041 |
| _version_ | 1797613577585033216 |
|---|---|
| author | Yueheng Liu Xinding Zhang |
| author_facet | Yueheng Liu Xinding Zhang |
| author_sort | Yueheng Liu |
| collection | DOAJ |
| description | Nonadiabatic Abelian geometric quantum computation has been extensively studied, due to its fast manipulation and inherent noise resistance. However, to obtain the pure geometric phase, the quantum state is required to evolve along some special paths to eliminate the dynamical phase. This leads to increasing evolution time and weakened gate robustness. The unconventional geometric quantum computation is an effective way to solve the above problems. Here, we propose a general approach to realize the unconventional geometric computation. Then, we discuss the effect of the ratio of geometric phase to dynamic phase on the performance of quantum gates. The results show that the selection of ratio corresponds to different quantum gate robustness. Therefore, we can optimize the ratio to get higher-fidelity quantum gates. At last, we construct the ratio-optimized quantum gates in a superconducting circuit and test its robustness. The fidelities of the T-gate, Hadamard H-gate, and controlled phase gate can be obtained as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>99.98</mn><mo>%</mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>99.95</mn><mo>%</mo></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>99.85</mn><mo>%</mo></mrow></semantics></math></inline-formula>, respectively. Therefore, our scheme provides a promising way to realize large-scale fault-tolerant quantum computation in superconducting circuits. |
| first_indexed | 2024-03-11T06:57:53Z |
| format | Article |
| id | doaj.art-b3245c0eb2c84b44b61dc2016fccaffd |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T06:57:53Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-b3245c0eb2c84b44b61dc2016fccaffd2023-11-17T09:30:39ZengMDPI AGApplied Sciences2076-34172023-03-01136404110.3390/app13064041Optimized Unconventional Geometric Gates in Superconducting CircuitsYueheng Liu0Xinding Zhang1Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, ChinaNonadiabatic Abelian geometric quantum computation has been extensively studied, due to its fast manipulation and inherent noise resistance. However, to obtain the pure geometric phase, the quantum state is required to evolve along some special paths to eliminate the dynamical phase. This leads to increasing evolution time and weakened gate robustness. The unconventional geometric quantum computation is an effective way to solve the above problems. Here, we propose a general approach to realize the unconventional geometric computation. Then, we discuss the effect of the ratio of geometric phase to dynamic phase on the performance of quantum gates. The results show that the selection of ratio corresponds to different quantum gate robustness. Therefore, we can optimize the ratio to get higher-fidelity quantum gates. At last, we construct the ratio-optimized quantum gates in a superconducting circuit and test its robustness. The fidelities of the T-gate, Hadamard H-gate, and controlled phase gate can be obtained as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>99.98</mn><mo>%</mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>99.95</mn><mo>%</mo></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>99.85</mn><mo>%</mo></mrow></semantics></math></inline-formula>, respectively. Therefore, our scheme provides a promising way to realize large-scale fault-tolerant quantum computation in superconducting circuits.https://www.mdpi.com/2076-3417/13/6/4041geometric quantum computationunconventional geometric quantum computationhigh-fidelity quantum gatessuperconducting circuits |
| spellingShingle | Yueheng Liu Xinding Zhang Optimized Unconventional Geometric Gates in Superconducting Circuits Applied Sciences geometric quantum computation unconventional geometric quantum computation high-fidelity quantum gates superconducting circuits |
| title | Optimized Unconventional Geometric Gates in Superconducting Circuits |
| title_full | Optimized Unconventional Geometric Gates in Superconducting Circuits |
| title_fullStr | Optimized Unconventional Geometric Gates in Superconducting Circuits |
| title_full_unstemmed | Optimized Unconventional Geometric Gates in Superconducting Circuits |
| title_short | Optimized Unconventional Geometric Gates in Superconducting Circuits |
| title_sort | optimized unconventional geometric gates in superconducting circuits |
| topic | geometric quantum computation unconventional geometric quantum computation high-fidelity quantum gates superconducting circuits |
| url | https://www.mdpi.com/2076-3417/13/6/4041 |
| work_keys_str_mv | AT yuehengliu optimizedunconventionalgeometricgatesinsuperconductingcircuits AT xindingzhang optimizedunconventionalgeometricgatesinsuperconductingcircuits |