A simple formula for the average gate fidelity of a quantum dynamical operation |
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| Affiliation: | 1. School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India;2. School of Natural Sciences, Shiv Nadar University, Gautam Budh Nagar, UP 203207, India;3. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India;1. Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam bin Abdulaziz University, Saudi Arabia;2. Faculty of Science, Assiut University, Assiut, Egypt;3. Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA;4. Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, United Arab Emirates;5. Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia;1. School of Physics, Dalian University of Technology, Dalian, 116024, China;2. Fundamental Education College, Dalian Neusoft University of Information, Dalian 116023, China;3. Department of Physics, Dalian Maritime University, Dalian, 116026, China;4. Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun, 130024, China;5. Department of Physics, Arba Minch University, Arba Minch, 21, Ethiopia;1. Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;2. School of Science, Xi’an University of Posts and Telecommunications, Xi’an 710121, China;3. School of Information Science and Engineering, Shandong University, Jinan 250100, China;4. Department of Physics, and Synergetic Innovation Center for Quantum Effects, Hunan Normal University, Changsha, Hunan 410081, China;5. Beijing Computational Science Research Center, Beijing 100094, China;6. Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan;7. CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China;8. Collaborative Innovation Center of Quantum Matter, Beijing 100190, China;1. CAS Key Laboratory of Microscale Magnetic Resonance and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;2. Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China;3. Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China;4. Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China;5. National High Magnetic Field Lab, 1800 East Paul Dirac Drive, Tallahassee, FL 32310, USA |
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| Abstract: | This Letter presents a simple formula for the average fidelity between a unitary quantum gate and a general quantum operation on a qudit, generalizing the formula for qubits found by Bowdrey et al. [Phys. Lett. A 294 (2002) 258]. This formula may be useful for experimental determination of average gate fidelity. We also give a simplified proof of a formula due to Horodecki et al. [Phys. Rev. A 60 (1999) 1888], connecting average gate fidelity to entanglement fidelity. |
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