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Published in: Quantum Information Processing 9/2018

01-09-2018

Quantum information processing in a decoherence-free subspace for the \(\hat{\sigma }_{x}\)-type collective noise

Authors: Wen-Xue Cui, Shutian Liu, Shou Zhang, Hong-Fu Wang, Jing-Ji Wen

Published in: Quantum Information Processing | Issue 9/2018

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Abstract

Based on a cavity-assisted single-photon input–output process, we first construct the hybrid controlled-phase-flip gate between photon and the single-logic qubit in decoherence-free subspaces. And we also achieve the universal single-qubit logic operations. We realize the distributed quantum information processing with the hybrid controlled-phase-flip gate and single-qubit logic operations. Finally, we discuss the experimental feasibility of our scheme, which is satisfied with currently available technology.

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Literature
1.
go back to reference Paul, G.K., Andrew, J.B., Joseph, B.A., Andrew, G.W.: Experimental verification of decoherence-free subspaces. Science 290, 498–501 (2000)CrossRef Paul, G.K., Andrew, J.B., Joseph, B.A., Andrew, G.W.: Experimental verification of decoherence-free subspaces. Science 290, 498–501 (2000)CrossRef
2.
go back to reference Kielpinski, D., Meyer, V., Rowe, M.A., Sackett, C.A., Itano, W.M., Monro, C., Wineland, D.J.: A decoherence-free quantum memory using trapped ions. Science 291, 1013–1015 (2001)ADSCrossRef Kielpinski, D., Meyer, V., Rowe, M.A., Sackett, C.A., Itano, W.M., Monro, C., Wineland, D.J.: A decoherence-free quantum memory using trapped ions. Science 291, 1013–1015 (2001)ADSCrossRef
4.
go back to reference Duan, L.M., Guo, G.C.: Preserving coherence in quantum computation by pairing quantum bits. Phys. Rev. Lett. 79, 1953–1956 (1997)ADSCrossRef Duan, L.M., Guo, G.C.: Preserving coherence in quantum computation by pairing quantum bits. Phys. Rev. Lett. 79, 1953–1956 (1997)ADSCrossRef
5.
go back to reference Lidar, D.A., Chuang, I.L., Whaley, K.B.: Decoherence-free subspaces for quantum computation. Phys. Rev. Lett. 81, 2594–2597 (1998)ADSCrossRef Lidar, D.A., Chuang, I.L., Whaley, K.B.: Decoherence-free subspaces for quantum computation. Phys. Rev. Lett. 81, 2594–2597 (1998)ADSCrossRef
6.
go back to reference Beige, A., Braun, D., Tregenna, B., Knight, P.L.: Quantum computing using dissipation to remain in a decoherence-free subspace. Phys. Rev. Lett. 85, 1762–1765 (2000)ADSCrossRef Beige, A., Braun, D., Tregenna, B., Knight, P.L.: Quantum computing using dissipation to remain in a decoherence-free subspace. Phys. Rev. Lett. 85, 1762–1765 (2000)ADSCrossRef
7.
go back to reference Kumagai, H., Yamamoto, T., Koashi, M., Imoto, N.: Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse. Phys. Rev. A 87, 052325 (2013)ADSCrossRef Kumagai, H., Yamamoto, T., Koashi, M., Imoto, N.: Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse. Phys. Rev. A 87, 052325 (2013)ADSCrossRef
8.
9.
go back to reference Kielpinski, D., Monroe, C., Wineland, D.J.: Architecture for a large-scale ion-trap quantum computer. Nature (London) 417, 709–711 (2002)ADSCrossRef Kielpinski, D., Monroe, C., Wineland, D.J.: Architecture for a large-scale ion-trap quantum computer. Nature (London) 417, 709–711 (2002)ADSCrossRef
10.
go back to reference Xue, P., Xiao, Y.F.: Universal quantum computation in decoherence-free subspace with neutral atoms. Phys. Rev. Lett. 97, 140501 (2006)ADSCrossRef Xue, P., Xiao, Y.F.: Universal quantum computation in decoherence-free subspace with neutral atoms. Phys. Rev. Lett. 97, 140501 (2006)ADSCrossRef
11.
go back to reference Wei, H., Deng, Z.J., Zhang, X.L., Feng, M.: Transfer and teleportation of quantum states encoded in decoherence-free subspace. Phys. Rev. A 76, 054304 (2007)ADSCrossRef Wei, H., Deng, Z.J., Zhang, X.L., Feng, M.: Transfer and teleportation of quantum states encoded in decoherence-free subspace. Phys. Rev. A 76, 054304 (2007)ADSCrossRef
12.
go back to reference Wang, C., Wang, T.J., Zhang, Y., Jiao, R.Z., Jin, G.S.: Concentration of entangled nitrogen-vacancy centers in decoherence free subspace. Opt. Express 22, 1551–1559 (2014)ADSCrossRef Wang, C., Wang, T.J., Zhang, Y., Jiao, R.Z., Jin, G.S.: Concentration of entangled nitrogen-vacancy centers in decoherence free subspace. Opt. Express 22, 1551–1559 (2014)ADSCrossRef
13.
go back to reference Liu, A.P., Cheng, L.Y., Chen, L., Su, S.L., Wang, H.F., Zhang, S.: Quantum information processing in decoherence-free subspace with nitrogen-vacancy centers coupled to a whispering-gallery mode microresonator. Opt. Commun. 313, 180–185 (2014)ADSCrossRef Liu, A.P., Cheng, L.Y., Chen, L., Su, S.L., Wang, H.F., Zhang, S.: Quantum information processing in decoherence-free subspace with nitrogen-vacancy centers coupled to a whispering-gallery mode microresonator. Opt. Commun. 313, 180–185 (2014)ADSCrossRef
14.
go back to reference Hu, S., Cui, W.X., Guo, Q., Wang, H.F., Zhu, A.D., Zhang, S.: Multi-qubit non-adiabatic holonomic controlled quantum gates in decoherence-free subspaces. Quantum Inf. Process. 15, 3651–3661 (2016)ADSMathSciNetCrossRefMATH Hu, S., Cui, W.X., Guo, Q., Wang, H.F., Zhu, A.D., Zhang, S.: Multi-qubit non-adiabatic holonomic controlled quantum gates in decoherence-free subspaces. Quantum Inf. Process. 15, 3651–3661 (2016)ADSMathSciNetCrossRefMATH
15.
go back to reference Wu, L.A., Zanardi, P., Lidar, D.A.: Holonomic quantum computation in decoherence-free subspaces. Phys. Rev. Lett. 95, 130501 (2005)ADSMathSciNetCrossRef Wu, L.A., Zanardi, P., Lidar, D.A.: Holonomic quantum computation in decoherence-free subspaces. Phys. Rev. Lett. 95, 130501 (2005)ADSMathSciNetCrossRef
16.
go back to reference Aolita, L., Davidovich, L., Kim, K., Häffner, H.: Universal quantum computation in decoherence-free subspaces with hot trapped ions. Phys. Rev. Lett. 75, 052337 (2007)ADS Aolita, L., Davidovich, L., Kim, K., Häffner, H.: Universal quantum computation in decoherence-free subspaces with hot trapped ions. Phys. Rev. Lett. 75, 052337 (2007)ADS
17.
go back to reference Xu, G.F., Zhang, J., Tong, D.M., Sjöqvist, E., Kwek, L.C.: Nonadiabatic holonomic quantum computation in decoherence-free subspaces. Phys. Rev. Lett. 109, 170501 (2012)ADSCrossRef Xu, G.F., Zhang, J., Tong, D.M., Sjöqvist, E., Kwek, L.C.: Nonadiabatic holonomic quantum computation in decoherence-free subspaces. Phys. Rev. Lett. 109, 170501 (2012)ADSCrossRef
18.
go back to reference Song, X.K., Zhang, H., Ai, Q., Qiu, J., Deng, F.G.: Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm. New J. Phys. 18, 023001 (2016)ADSCrossRef Song, X.K., Zhang, H., Ai, Q., Qiu, J., Deng, F.G.: Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm. New J. Phys. 18, 023001 (2016)ADSCrossRef
19.
go back to reference Zhao, P.Z., Xu, G.F., Ding, Q.M., Sjqvist, E., Tong, D.M.: Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces. Phys. Rev. A 95, 062310 (2017)ADSCrossRef Zhao, P.Z., Xu, G.F., Ding, Q.M., Sjqvist, E., Tong, D.M.: Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces. Phys. Rev. A 95, 062310 (2017)ADSCrossRef
20.
go back to reference Zwerger, M., Lanyon, B.P., Northup, T.E., Muschik, C.A., Dür, W., Sangouard, N.: Quantum repeaters based on trapped ions with decoherence-free subspace encoding. Quantum Sci. Technol. 2, 044001 (2017)ADSCrossRef Zwerger, M., Lanyon, B.P., Northup, T.E., Muschik, C.A., Dür, W., Sangouard, N.: Quantum repeaters based on trapped ions with decoherence-free subspace encoding. Quantum Sci. Technol. 2, 044001 (2017)ADSCrossRef
21.
go back to reference Xu, G.F., Long, G.L.: Universal nonadiabatic geometric gates in two-qubit decoherence-free subspaces. Sci. Rep. 4, 6841 (2014) Xu, G.F., Long, G.L.: Universal nonadiabatic geometric gates in two-qubit decoherence-free subspaces. Sci. Rep. 4, 6841 (2014)
22.
go back to reference Wang, Z.H., Ji, Y.J., Li, Y., Zhou, D.L.: Dissipation and decoherence induced by collective dephasing in a coupled-qubit system with a common bath. Phys. Rev. A 91, 013838 (2015)ADSCrossRef Wang, Z.H., Ji, Y.J., Li, Y., Zhou, D.L.: Dissipation and decoherence induced by collective dephasing in a coupled-qubit system with a common bath. Phys. Rev. A 91, 013838 (2015)ADSCrossRef
23.
go back to reference Carnio, E.G., Buchleitner, A., Gessner, M.: Generating and protecting correlated quantum states under collective dephasing. New J. Phys. 18, 073010 (2016)ADSCrossRef Carnio, E.G., Buchleitner, A., Gessner, M.: Generating and protecting correlated quantum states under collective dephasing. New J. Phys. 18, 073010 (2016)ADSCrossRef
24.
go back to reference He, X.L., Yang, C.P.: Transferring multiqubit entanglement onto memory qubits in a decoherence-free subspace. Quantum Inf. Process. 16, 67 (2017)ADSMathSciNetCrossRefMATH He, X.L., Yang, C.P.: Transferring multiqubit entanglement onto memory qubits in a decoherence-free subspace. Quantum Inf. Process. 16, 67 (2017)ADSMathSciNetCrossRefMATH
25.
go back to reference Zhang, Z.R., Li, C.Y., Wu, C.W., Dai, H.Y., Li, C.Z.: Universal quantum computation in a decoherencefree subspace for the \(\hat{\sigma }_{x}\)-type collective noise with superconducting charge qubits. Phys. Rev. A 86, 042320 (2012)ADSCrossRef Zhang, Z.R., Li, C.Y., Wu, C.W., Dai, H.Y., Li, C.Z.: Universal quantum computation in a decoherencefree subspace for the \(\hat{\sigma }_{x}\)-type collective noise with superconducting charge qubits. Phys. Rev. A 86, 042320 (2012)ADSCrossRef
26.
go back to reference Zhang, Z.R., Wu, C.W., Li, C.Y., Dai, H.Y., Li, C.Z.: Universal quantum computation in a decoherencefree subspace for collective relaxation with transmon qubits. Phys. Rev. A 87, 062325 (2013)ADSCrossRef Zhang, Z.R., Wu, C.W., Li, C.Y., Dai, H.Y., Li, C.Z.: Universal quantum computation in a decoherencefree subspace for collective relaxation with transmon qubits. Phys. Rev. A 87, 062325 (2013)ADSCrossRef
27.
go back to reference Duan, L.M., Kimble, H.J.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)ADSCrossRef Duan, L.M., Kimble, H.J.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)ADSCrossRef
28.
go back to reference Duan, L.M., Wang, B., Kimble, H.J.: Robust quantum gates on neutral atoms with cavity-assisted photon scattering. Phys. Rev. A 72, 032333 (2005)ADSCrossRef Duan, L.M., Wang, B., Kimble, H.J.: Robust quantum gates on neutral atoms with cavity-assisted photon scattering. Phys. Rev. A 72, 032333 (2005)ADSCrossRef
29.
go back to reference Chen, Q., Feng, M.: Quantum-information processing in decoherence-free subspace with low-\(\mathit{Q}\) cavities. Phys. Rev. A 82, 052329 (2010)ADSCrossRef Chen, Q., Feng, M.: Quantum-information processing in decoherence-free subspace with low-\(\mathit{Q}\) cavities. Phys. Rev. A 82, 052329 (2010)ADSCrossRef
31.
go back to reference Phillips, C.R., Fejer, M.M.: Adiabatic optical parametric oscillators: steady-state and dynamical behavior. Opt. Express 20, 2466–2482 (2012)ADSCrossRef Phillips, C.R., Fejer, M.M.: Adiabatic optical parametric oscillators: steady-state and dynamical behavior. Opt. Express 20, 2466–2482 (2012)ADSCrossRef
32.
go back to reference Auffèves-Garnier, A., Simon, C., Gérard, J.M., Poizat, J.P.: Giant optical nonlinearity induced by a single two-level system interacting with a cavity in the Purcell regime. Phys. Rev. A 75, 053823 (2007)ADSCrossRef Auffèves-Garnier, A., Simon, C., Gérard, J.M., Poizat, J.P.: Giant optical nonlinearity induced by a single two-level system interacting with a cavity in the Purcell regime. Phys. Rev. A 75, 053823 (2007)ADSCrossRef
33.
go back to reference An, J.H., Feng, M., Oh, C.H.: Quantum-information processing with a single photon by an input–output process with respect to low-\(\mathit{Q}\) cavities. Phys. Rev. A 79, 032303 (2009)ADSCrossRef An, J.H., Feng, M., Oh, C.H.: Quantum-information processing with a single photon by an input–output process with respect to low-\(\mathit{Q}\) cavities. Phys. Rev. A 79, 032303 (2009)ADSCrossRef
34.
go back to reference Sauer, J.A., Fortier, K.M., Chang, M.S., Hamley, C.D., Chapman, M.S.: Cavity QED with optically transported atoms. Phys. Rev. A 69, 051804 (2004)ADSCrossRef Sauer, J.A., Fortier, K.M., Chang, M.S., Hamley, C.D., Chapman, M.S.: Cavity QED with optically transported atoms. Phys. Rev. A 69, 051804 (2004)ADSCrossRef
35.
go back to reference Mandel, O., Greiner, M., Widera, A., Rom, T., Hänsch, T.W., Bloch, I.: Coherent transport of neutral atoms in spin-dependent optical lattice potentials. Phys. Rev. Lett. 91, 010407 (2003)ADSCrossRef Mandel, O., Greiner, M., Widera, A., Rom, T., Hänsch, T.W., Bloch, I.: Coherent transport of neutral atoms in spin-dependent optical lattice potentials. Phys. Rev. Lett. 91, 010407 (2003)ADSCrossRef
36.
go back to reference Kuhr, S., Alt, W., Schrader, D., Dotsenko, I., Miroshnychenko, Y., Rosenfeld, W., Khudaverdyan, M., Gomer, V., Rauschenbeutel, A., Meschede, D.: Coherence properties and quantum state transportation in an optical conveyor belt. Phys. Rev. Lett. 91, 213002 (2003)ADSCrossRef Kuhr, S., Alt, W., Schrader, D., Dotsenko, I., Miroshnychenko, Y., Rosenfeld, W., Khudaverdyan, M., Gomer, V., Rauschenbeutel, A., Meschede, D.: Coherence properties and quantum state transportation in an optical conveyor belt. Phys. Rev. Lett. 91, 213002 (2003)ADSCrossRef
37.
go back to reference Pachos, J., Walther, H.: Quantum computation with trapped ions in an optical cavity. Phys. Rev. Lett. 89, 187903 (2002)ADSCrossRef Pachos, J., Walther, H.: Quantum computation with trapped ions in an optical cavity. Phys. Rev. Lett. 89, 187903 (2002)ADSCrossRef
38.
go back to reference Goto, H., Ichimura, K.: Multiqubit controlled unitary gate by adiabatic passage with an optical cavity. Phys. Rev. A 70, 012305 (2004)ADSCrossRef Goto, H., Ichimura, K.: Multiqubit controlled unitary gate by adiabatic passage with an optical cavity. Phys. Rev. A 70, 012305 (2004)ADSCrossRef
39.
go back to reference Xiao, Y.F., Lin, X.M., Gao, J., Yang, Y., Han, Z.F., Guo, G.C.: Realizing quantum controlled phase flip through cavity QED. Phys. Rev. A 70, 042314 (2004)ADSCrossRef Xiao, Y.F., Lin, X.M., Gao, J., Yang, Y., Han, Z.F., Guo, G.C.: Realizing quantum controlled phase flip through cavity QED. Phys. Rev. A 70, 042314 (2004)ADSCrossRef
40.
go back to reference Maunz, P., Puppe, T., Schuster, I., Syassen, N., Pinkse, P.W.H., Rempe, G.: Normal-mode spectroscopy of a single-bound-atom–cavity system. Phys. Rev. Lett. 94, 033002 (2005)ADSCrossRef Maunz, P., Puppe, T., Schuster, I., Syassen, N., Pinkse, P.W.H., Rempe, G.: Normal-mode spectroscopy of a single-bound-atom–cavity system. Phys. Rev. Lett. 94, 033002 (2005)ADSCrossRef
41.
go back to reference Mei, F., Yu, Y.F., Feng, X.L., Zhu, S.L., Zhang, Z.M.: Optical quantum computation with cavities in the intermediate coupling region. Europhys. Lett. 91, 10001 (2010)ADSCrossRef Mei, F., Yu, Y.F., Feng, X.L., Zhu, S.L., Zhang, Z.M.: Optical quantum computation with cavities in the intermediate coupling region. Europhys. Lett. 91, 10001 (2010)ADSCrossRef
42.
go back to reference Xue, D., Zou, J., Li, J.G., Chen, W.Y., Shao, B.: Controlling entanglement between two separated atoms by quantum-jump-based feedback. J. Phys. B: At. Mol. Opt. Phys. 43, 045503 (2010)ADSCrossRef Xue, D., Zou, J., Li, J.G., Chen, W.Y., Shao, B.: Controlling entanglement between two separated atoms by quantum-jump-based feedback. J. Phys. B: At. Mol. Opt. Phys. 43, 045503 (2010)ADSCrossRef
43.
go back to reference Shao, X.Q., Zheng, T.Y., Zhang, S.: Engineering steady three-atom singlet states via quantum-jumpbased feedback. Phys. Rev. A 85, 042308 (2012)ADSCrossRef Shao, X.Q., Zheng, T.Y., Zhang, S.: Engineering steady three-atom singlet states via quantum-jumpbased feedback. Phys. Rev. A 85, 042308 (2012)ADSCrossRef
44.
go back to reference Wu, Q.C., Ji, X.: Generation of steady three- and four-dimensional entangled states via quantum-jump-based feedback. Quantum Inf. Process. 12, 3167–3178 (2013)ADSMathSciNetCrossRefMATH Wu, Q.C., Ji, X.: Generation of steady three- and four-dimensional entangled states via quantum-jump-based feedback. Quantum Inf. Process. 12, 3167–3178 (2013)ADSMathSciNetCrossRefMATH
45.
go back to reference Lim, Y.L., Beige, A., Kwek, L.C.: Repeat-until-success linear optics distributed quantum computing. Phys. Rev. Lett. 95, 030505 (2005)ADSCrossRef Lim, Y.L., Beige, A., Kwek, L.C.: Repeat-until-success linear optics distributed quantum computing. Phys. Rev. Lett. 95, 030505 (2005)ADSCrossRef
46.
go back to reference Beige, A., Lim, Y.L., Kwek, L.C.: A repeat-until-success quantum computing scheme. New J. Phys. 9, 197 (2007)ADSCrossRef Beige, A., Lim, Y.L., Kwek, L.C.: A repeat-until-success quantum computing scheme. New J. Phys. 9, 197 (2007)ADSCrossRef
47.
go back to reference Almut, B., Yuan, L.L., Christian, S.: Multi-photon entanglement from distant single photon sources on demand. J. Mod. Opt. 54, 397–407 (2007)CrossRef Almut, B., Yuan, L.L., Christian, S.: Multi-photon entanglement from distant single photon sources on demand. J. Mod. Opt. 54, 397–407 (2007)CrossRef
Metadata
Title
Quantum information processing in a decoherence-free subspace for the -type collective noise
Authors
Wen-Xue Cui
Shutian Liu
Shou Zhang
Hong-Fu Wang
Jing-Ji Wen
Publication date
01-09-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 9/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1999-2

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