基于非局域超导量子谐振器的贝尔态制备
Bell State Generation Based on Non-Local Superconducting Quantum Resonators
DOI: 10.12677/mp.2024.143013, PDF,   
作者: 黎 杰：天津工业大学物理科学与技术学院，天津
关键词: 腔量子电动力学；量子纠缠；量子计算；Cavity Quantum Electrodynamics； Quantum Entanglement； Quantum Computation
摘要: 量子信息是量子物理和信息科学相结合的新型交叉学科，超导量子谐振器因其可被灵活设计、存储和引导微波光子以及拥有高品质因子等特点成为一个很好的量子信息处理平台。本文研究了基于非局域超导谐振器的全共振贝尔纠缠态的产生过程。使用的系统由一个长超导传输线所连接的两个非局域一维超导谐振器组成，这两个非局域谐振器又分别与两个承载信息的超导谐振器耦合。在本方案中，传输线不会被布局微波光子，从而可以抵抗长传输线的光子损失带来的影响。这也使得长传输线可以被设计的更为复杂以连接更多的非局域超导谐振器达成基于超导谐振器的大规模分布式量子计算。
Abstract: Quantum information is a new interdisciplinary field that combines quantum physics and information science. Superconducting quantum resonators have become a good platform for quantum information processing due to their flexible design, storage, and guidance of microwave photons, as well as their high quality factors. This article investigates the generation process of fully resonant Bell entangled states based on non-local superconducting resonators. The system used consists of two non-local one-dimensional superconducting resonators connected by a long superconducting transmission line, which are coupled to two superconducting resonators carrying information, respectively. In this scheme, the transmission line will not be laid out with microwave photons, so it can resist the impact of photon loss caused by long transmission lines. This also makes long transmission lines more complex to connect more non local superconducting resonators for large-scale distributed quantum computing based on superconducting resonators.
文章引用：黎杰. 基于非局域超导量子谐振器的贝尔态制备[J]. 现代物理, 2024, 14(3): 110-117. https://doi.org/10.12677/mp.2024.143013

参考文献

[1] Nilsen, M.A. and Chuang, I.L. (2000) Quantum Computation and Quantum Information. Cambridge University, Cambridge.
[2] Knill, E., Laflamme, R. and Milburn, G.J. (2001) A Scheme for Efficient Quantum Computation with Linear Optics. Nature, 409, 46-52. [Google Scholar] [CrossRef] [PubMed]
[3] O’Brien, J.L., Pryde, G.J., White, A.G., Ralph, T.C. and Branning, D. (2003) Demonstration of an All-Optical Quantum Controlled-NOT Gate. Nature, 426, 264-267. [Google Scholar] [CrossRef] [PubMed]
[4] Wei, H.R. and Deng, F.G. (2013) Scalable Photonic Quantum Computing Assisted by Quantum-Dot Spin in Doublesided Optical Microcavity. Optics Express, 21, 17671-17685. [Google Scholar] [CrossRef] 
[5] Jones, J.A., Mosca, M. and Hansen, R.H. (1998) Implementation of a Quantum Search Algorithmon a Quantum Computer. Nature, 393, 344-346. [Google Scholar] [CrossRef] 
[6] Long, G.L. and Xiao, L. (2003) Experimental Realization of a Fetching Algorithm in a 7-Qubit NMR Spin Liouville Space Computer. The Journal of Chemical Physics, 119, 8473-8481. [Google Scholar] [CrossRef] 
[7] Feng, G.R., Xu, G.F. and Long, G.L. (2013) Experimental Realization of Non-Adiabatic Holonomic Quantum Computation. Physical Review Letters, 110, Article ID: 190501. [Google Scholar] [CrossRef] 
[8] Togan, E., Chu, Y., Trifonov, A.S., Jiang, L., Maze, J., Childress, L., Dutt, M.G., Sørensen, A.S., Hemmer, P.R., Zibrov, A.S. and Lukin, M.D. (2010) Quantum Entanglement between an Optical Photon and a Solid-State Spin Qubit. Nature, 466, 730-734. [Google Scholar] [CrossRef] [PubMed]
[9] Yang, W.L., Yin, Z.Q., Xu, Z.Y., Feng, M. and Du, J.F. (2010) One-Step Implementationofmulti Qubit Conditional Phase Gating with Nitrogen-Vacancy Centers Coupled to Ahigh-Qsilica Microsphere Cavity. Applied Physics Letters, 96, Article ID: 241113. [Google Scholar] [CrossRef] 
[10] Wei, H.R. and Long, G.L. (2015) Universal Photonic Quantum Gates Assisted by Ancilladiamond Nitrogen-Vacancy Centers Coupled to Resonators. Physical Review A, 91, Article ID: 032324. [Google Scholar] [CrossRef] 
[11] Wei, H.R. and Deng, F.G. (2013) Compact Quantum Gates on Electron-Spin Qubits Assisted by Diamond Nitrogen-Vacancy Centers Inside Cavities. Physical Review A, 88, Article ID: 042323 [Google Scholar] [CrossRef] 
[12] Han, X., Guo, Q., Zhu, A.D., Zhang, S. and Wang, H.F. (2017) Effective W-State Fusion Strategies in Nitrogen Vacancy Centers via Coupling to Microtoroidal Resonators. Optics Express, 25, 17701-17712. [Google Scholar] [CrossRef] 
[13] Scully, M.O. and Zubairy, M.S. (1997) Quantum Optics. Cambridge University, Cambridge. [Google Scholar] [CrossRef] 
[14] Blais, A., Huang, R.S., Wallraff, A., Girvin, S.M. and Schoelkopf, R.J. (2004) Cavity Quantumelectrodynamics for Superconducting Electrical Circuits: An Architecture for Quantumcomputation. Physical Review A, 69, Article ID: 062320. [Google Scholar] [CrossRef] 
[15] Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Huang, R.S., Majer, J., Kumar, S., Girvin, S.M. and Schoelkopf, R.J. (2004) Strong Coupling of a Single Photon to a Superconducting Qubit Using Circuit Quantum Electrodynamics. Nature, 431, 162-167. [Google Scholar] [CrossRef] [PubMed]
[16] Chang, J.B., Vissers, M.R., Córcoles, A.D., Sandberg, M., et al. (2013) Improved Superconducting Qubit Coherence Using Titanium Nitride. Applied Physics Letters, 103, Article ID: 012602. [Google Scholar] [CrossRef] 
[17] Chow, J.M., Gambetta, J.M., Magesan, E., Abraham, D.W., et al. (2014) Implementing a Strad of a Scalable Fault-Tolerant Quantum Computing Fabric. Nature Communications, 5, Article No. 4015. [Google Scholar] [CrossRef] [PubMed]
[18] Kelly, J., Barends, R., Fowler, A.G., Megrant, A., Jeffrey, E., White, T.C., et al. (2015) Sate Preservation by Repetitive Error Detection in a Superconducting Quantum Circuit. Nature, 519, 66-69. [Google Scholar] [CrossRef] [PubMed]
[19] Megrant, A., Neill, C., Barends, R., Chiaro, B., et al. (2012) Planar Superconducting Resonators with Internal Quality Factor above One Million. Applied Physics Letters, 100, Article ID: 113510. [Google Scholar] [CrossRef] 
[20] Wang, H., Mariantoni, M., Bialczak, R.C., Lenander, M., et al. (2011) Deterministic Entanglement of Photons in Two Superconducting Microwave Resonators. Physical Review Letters, 106, Article ID: 060401. [Google Scholar] [CrossRef] 
[21] Adhikari, P., Hafezi, M. and Taylor, J.M. (2013) Nonlinear Optics Quantum Computing with Circuit QED. Physical Review Letters, 110, Article ID: 060503. [Google Scholar] [CrossRef] 
[22] DiCarlo, L., Chow, J.M., Gambetta, J.M., Bishop, L.S., et al. (2009) Demonstration of Two Qubit Algorithms with a Super-Conducting Quantum Processor. Nature, 460, 240-244. [Google Scholar] [CrossRef] [PubMed]
[23] Haack, G., Helmer, F., Mariantoni, M., Marquardt, F. and Solano, E. (2010) Resonant Quantum Gates in Circuit Quantum Electrodynamics. Physical Review B, 82, Article ID: 024514. [Google Scholar] [CrossRef] 
[24] Strauch, F.W. (2011) Quantum Logic Gates for Superconducting Resonator Qubits. Physical Review A, 84, Article ID: 052313. [Google Scholar] [CrossRef] 
[25] Hua, M., Tao, M.J. and Deng, F.G. (2015) Fast Universal Quantum Gates on Microwave Photons with All-Resonance Operations in Circuit QED. Scientific Reports, 5, Article No. 9274 [Google Scholar] [CrossRef] [PubMed]
[26] Xue, Z.Y., Zhou, J. and Wang, Z.D. (2015) Universal Holonomic Quantum Gates in Decoherence Free Subspace on Superconducting Circuits. Physical Review A, 92, Article ID: 022320. [Google Scholar] [CrossRef] 
[27] Xue, Z.Y., Gu, F.L., Hong, Z.P., Yang, Z.H., Zhang, D.W., Hu, Y. and You, J.Q. (2017) Nonadiabatic Holonomic Quantum Computation with Dressed-State Qubits. Physical Review Applied, 7, Article ID: 054022. [Google Scholar] [CrossRef] 
[28] Steffen, M., Ansmann, M., Bialczak, R.C., et al. (2006) Measurement of the Entanglement of Two Superconducting Qubits via State Tomography. Science, 313, 1423-1425. [Google Scholar] [CrossRef] [PubMed]
[29] Cao, Y., Huo, W.Y., Ai, Q. and Long, G.L. (2011) Theory of Degenerate Three-Wave Mixing Using Circuit QED in Solid-State Circuits. Physical Review A, 84, Article ID: 053846. [Google Scholar] [CrossRef] 
[30] Leghtas, Z., Vool, U., Shankar, S., Hatridge, M., Girvin, S.M., Devoret, M.H. and Mirrahimi, M. (2013) Stabilizing a Bell State of Two Superconducting Qubits by Dissipation Engineering. Physical Review A, 88, Article ID: 023849. [Google Scholar] [CrossRef] 
[31] Strauch, F.W. (2012) All-Resonant Control of Superconducting Resonators. Physical Review Letter, 109, Article ID: 210501. [Google Scholar] [CrossRef] 
[32] Strauch, F.W., Onyango, D., Jacobs, K. and Simmonds, R.W. (2012) Entangled-State Synthesis for Superconducting Resonators. Physical Review A, 85, Article ID: 022335. [Google Scholar] [CrossRef] 
[33] Wang, W., Hu, L., Xu, Y., Liu, K., Ma, Y., Zheng, S.B., et al. (2017) Converting Quasi-Classical States into Arbitrary Fock State Super-Positions in a Superconducting Circuit. Physical Review Letter, 118, Article ID: 223604. [Google Scholar] [CrossRef] 
[34] Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Majer, J., Devoret, M.H., Girvin, S.M, Schoelkopf, R.J. (2005) Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout. Physical Review Letter, 95, Article ID: 060501. [Google Scholar] [CrossRef] 
[35] Johnson, B.R., Reed, M.D., Houck, A.A., Schuster, D.I., Bishop, L.S., et al. (2010) Quantum Non-Demolition Detection of Single Microwave Photons in a Circuit. Nature Physics, 6, 663-667. [Google Scholar] [CrossRef] 
[36] Feng, W., Wang, P.Y., Ding, X.M., Xu, L.T. and Li, X.Q. (2011) Generating and Stabilizingthe Greenberge-Horne-Zeilinger State in Circuit QED: Joint Measurement, Zeno Effect, and Feedback. Physical Review A, 83, Article ID: 042313. [Google Scholar] [CrossRef] 
[37] Majer, J., Chow, J.M., Gambetta, J.M., Koch, J., et al. (2007) Coupling Superconducting Qubits via a Cavity Bus. Nature, 449, 443-447. [Google Scholar] [CrossRef] [PubMed]
[38] Hua, M., Tao, M.J. and Deng, F.G. (2016) Quantum State Transfer and Controlled-Phase Gate on One-Dimensional Superconducting Resonators Assisted by a Quantum Bus. Scientific Reports, 6, Article No. 22037. [Google Scholar] [CrossRef] [PubMed]
[39] Wu, C.W., Gao, M., Li, H.Y., Deng, Z.J., Dai, H.Y., Chen, P.X. and Li, C.Z. (2012) Scalable One-Way Quantum Computer Using On-Chip Resonator Qubits. Physical Review A, 85, Article ID: 042301. [Google Scholar] [CrossRef] 
[40] Yang, C.P., Su, Q.P. and Han, S.Y. (2012) Generation of Greenberger-Horne-Zeilinger Entangled States of Photons in Multiple Cavities via a Superconducting Qutritor Anatomthrough Resonant Interaction. Physical Review A, 86, Article ID: 022329. [Google Scholar] [CrossRef] 
[41] Yang, C.P., Su, Q.P., Zheng, S.B. and Nori, F. (2016) Crosstalk-Insensitive Method for Simultaneously Coupling Multiple Pairs of Resonators. Physical Review A, 93, Article ID: 042307. [Google Scholar] [CrossRef] 
[42] Galiautdinov, A., Korotkov, A.N. and Martinis, J.M. (2012) Resonator-Zero-Qubit Architecture for Superconducting Qubits. Physical Review A, 85, Article ID: 042321. [Google Scholar] [CrossRef] 
[43] Ciracf, J.I., Ekert, A.K., Huelga, S.F. and Macchiavello, C. (1999) Unconditional Preparation of Entanglement between Atoms in Cascaded Optical Cavities. Physical Review A, 59, 49.