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Quantum Information Processing

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01-07-2023

Quantum state transfer: interplay between gate and readout errors

Authors: Bharat Thotakura, Tzu-Chieh Wei

Published in: Quantum Information Processing | Issue 7/2023

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Abstract

Quantum networks consist of quantum nodes that are linked by entanglement, and quantum information can be transferred from one node to another. Operations can be applied to qubits of local nodes coordinated by classical communication to manipulate quantum states, and readout/measurement will be employed to obtain results. Here, we use quantum circuits to simulate quantum state transfer between two nodes connected in a linear geometry through other nodes. We explore the interplay between gate and readout errors on the performance of state transfer. We find that the nominal success probability is not necessarily a monotonic function of the two error rates and employ numerical simulations and analytic tools to understand their interplay.

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Note added: This feature has become available in some of IBM’s quantum devices since November 2022. But to perform the actual demonstration is beyond the scope of the current work.

Kimble, H.J.: The quantum internet. Nature 453(7198), 1023–1030 (2008)ADS

Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993). https://doi.org/10.1103/PhysRevLett.70.1895ADSMathSciNetCrossRefMATH

Pan, J.-W., Bouwmeester, D., Weinfurter, H., Zeilinger, A.: Experimental entanglement swapping: entangling photons that never interacted. Phys. Rev. Lett. 80(18), 3891 (1998)ADSMathSciNetMATH

Duan, L.-M., Lukin, M.D., Cirac, J.I., Zoller, P.: Long-distance quantum communication with atomic ensembles and linear optics. Nature 414(6862), 413–418 (2001)ADS

Pu, Y., Jiang, N., Chang, W., Yang, H., Li, C., Duan, L.: Experimental realization of a multiplexed quantum memory with 225 individually accessible memory cells. Nat. Commun. 8(1), 1–6 (2017)

Hermans, S., Pompili, M., Beukers, H., Baier, S., Borregaard, J., Hanson, R.: Qubit teleportation between non-neighbouring nodes in a quantum network. Nature 605(7911), 663–668 (2022)ADS

Pompili, M., Hermans, S.L., Baier, S., Beukers, H.K., Humphreys, P.C., Schouten, R.N., Vermeulen, R.F., Tiggelman, M.J., dos Santos Martins, L., Dirkse, B., et al.: Realization of a multinode quantum network of remote solid-state qubits. Science 372(6539), 259–264 (2021)ADS

van Leent, T., Bock, M., Fertig, F., Garthoff, R., Eppelt, S., Zhou, Y., Malik, P., Seubert, M., Bauer, T., Rosenfeld, W., et al.: Entangling single atoms over 33 km telecom fibre. Nature 607(7917), 69–73 (2022)ADS

Das, D., Dogra, S., Dorai, K.: Experimental construction of a \(w\) superposition state and its equivalence to the Greenberger–Horne–Zeilinger state under local filtration. Phys. Rev. A 92, 022307 (2015). https://doi.org/10.1103/PhysRevA.92.022307ADSCrossRef

10.

Dorai, K., Suter, D.: Efficient implementations of the quantum fourier transform: an experimental perspective. Int. J. Quant. Inf. 3(02), 413–424 (2005)MATH

11.

Devra, A., Prabhu, P., Singh, H., Dorai, K.: Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming. Quantum Inf. Process. 17, 1–24 (2018)MathSciNetMATH

12.

Dahlberg, A., Skrzypczyk, M., Coopmans, T., Wubben, L., Rozpędek, F., Pompili, M., Stolk, A., Pawełczak, P., Knegjens, R., de Oliveira Filho, J., et al.: A link layer protocol for quantum networks. In: Proceedings of the ACM Special Interest Group on Data Communication, pp. 159–173 (2019)

13.

van Dam, S.B., Humphreys, P.C., Rozpędek, F., Wehner, S., Hanson, R.: Multiplexed entanglement generation over quantum networks using multi-qubit nodes. Quant. Sci. Technol. 2(3), 034002 (2017)ADS

14.

Kozlowski, W., Dahlberg, A., Wehner, S.: Designing a quantum network protocol. In: Proceedings of the 16th International Conference on Emerging Networking EXperiments and Technologies, pp. 1–16 (2020)

15.

Humphreys, P.C., Kalb, N., Morits, J.P., Schouten, R.N., Vermeulen, R.F., Twitchen, D.J., Markham, M., Hanson, R.: Deterministic delivery of remote entanglement on a quantum network. Nature 558(7709), 268–273 (2018)ADS

16.

Rozpędek, F., Yehia, R., Goodenough, K., Ruf, M., Humphreys, P.C., Hanson, R., Wehner, S., Elkouss, D.: Near-term quantum-repeater experiments with nitrogen-vacancy centers: overcoming the limitations of direct transmission. Phys. Rev. A 99(5), 052330 (2019)ADS

17.

Wehner, S., Elkouss, D., Hanson, R.: Quantum internet: a vision for the road ahead. Science 362(6412), 9288 (2018)ADSMathSciNetMATH

18.

Preskill, J.: Quantum computing in the NISQ era and beyond. Quantum 2, 79 (2018). https://doi.org/10.22331/q-2018-08-06-79CrossRef

19.

Stephens, A.M., Huang, J., Nemoto, K., Munro, W.J.: Hybrid-system approach to fault-tolerant quantum communication. Phys. Rev. A 87(5), 052333 (2013)ADS

20.

Campbell, E.T., Terhal, B.M., Vuillot, C.: Roads towards fault-tolerant universal quantum computation. Nature 549(7671), 172–179 (2017)ADS

21.

Bourassa, J.E., Alexander, R.N., Vasmer, M., Patil, A., Tzitrin, I., Matsuura, T., Su, D., Baragiola, B.Q., Guha, S., Dauphinais, G., et al.: Blueprint for a scalable photonic fault-tolerant quantum computer. Quantum 5, 392 (2021)

22.

Linke, N.M., Gutierrez, M., Landsman, K.A., Figgatt, C., Debnath, S., Brown, K.R., Monroe, C.: Fault-tolerant quantum error detection. Sci. Adv. 3(10), 1701074 (2017)ADS

23.

Chen, Z., Satzinger, K.J., Atalaya, J., Korotkov, A.N., Dunsworth, A., Sank, D., Quintana, C., McEwen, M., Barends, R., Klimov, P.V., et al.: Exponential suppression of bit or phase flip errors with repetitive error correction. arXiv preprint arXiv:2102.06132 (2021)

24.

Cirac, J.I., Zoller, P., Kimble, H.J., Mabuchi, H.: Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221–3224 (1997). https://doi.org/10.1103/PhysRevLett.78.3221ADSCrossRef

25.

Gisin, N., Thew, R.: Quantum communication. Nat. Photonics 1(3), 165–171 (2007)ADS

26.

Orieux, A., Diamanti, E.: Recent advances on integrated quantum communications. J. Opt. 18(8), 083002 (2016)ADS

27.

Cozzolino, D., Da Lio, B., Bacco, D., Oxenløwe, L.K.: High-dimensional quantum communication: benefits, progress, and future challenges. Adv. Quant. Technol. 2(12), 1900038 (2019)

28.

Huang, N.-N., Huang, W.-H., Li, C.-M.: Identification of networking quantum teleportation on 14-qubit IBM universal quantum computer. Sci. Rep. 10(1), 1–12 (2020)

29.

Hillmich, S., Zulehner, A., Wille, R.: Exploiting quantum teleportation in quantum circuit mapping. In: 2021 26th Asia and South Pacific Design Automation Conference (ASP-DAC), pp. 792–797 (2021). IEEE

30.

Mooney, G.J., White, G.A., Hill, C.D., Hollenberg, L.C.: Whole-device entanglement in a 65-qubit superconducting quantum computer. Adv. Quant. Technol. 4(10), 2100061 (2021)

31.

Behera, B.K., Seth, S., Das, A., Panigrahi, P.K.: Demonstration of entanglement purification and swapping protocol to design quantum repeater in IBM quantum computer. Quantum Inf. Process. 18(4), 1–13 (2019)MATH

32.

Behera, B.K., Reza, T., Gupta, A., Panigrahi, P.K.: Designing quantum router in IBM quantum computer. Quantum Inf. Process. 18(11), 1–13 (2019)

33.

Das, S., Rahman, M., Majumdar, M., et al.: Design of a quantum repeater using quantum circuits and benchmarking its performance on an IBM quantum computer. Quantum Inf. Process. 20(7), 1–17 (2021)

34.

Palaiodimopoulos, N., Brouzos, I., Diakonos, F., Theocharis, G.: Fast and robust quantum state transfer via a topological chain. Phys. Rev. A 103(5), 052409 (2021)ADSMathSciNet

35.

Chan, M.L., Aqua, Z., Tiranov, A., Dayan, B., Lodahl, P., Sørensen, A.S.: Quantum state transfer between a frequency-encoded photonic qubit and a quantum-dot spin in a nanophotonic waveguide. Phys. Rev. A 105(6), 062445 (2022)ADSMathSciNet

36.

Serra, P., Ferrón, A., Osenda, O.: Almost perfect quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings. Phys. Lett. A 449, 128362 (2022)MathSciNetMATH

37.

Qin, W., Wang, C., Long, G.L.: High-dimensional quantum state transfer through a quantum spin chain. Phys. Rev. A 87(1), 012339 (2013)ADS

38.

Qin, W., Li, J.-L., Long, G.-L.: High-dimensional quantum state transfer in a noisy network environment. Chin. Phys. B 24(4), 040305 (2015)ADS

39.

Yang, S., Song, Z., Sun, C.: Quantum state swapping via a qubit network with Hubbard interactions. Phys. Rev. B 73(19), 195122 (2006)ADS

40.

Štefaňák, M., Skoupỳ, S.: Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs. Quantum Inf. Process. 16, 1–14 (2017)MathSciNetMATH

41.

Babukhin, D., Pogosov, W.: The effect of quantum noise on algorithmic perfect quantum state transfer on NISQ processors. Quantum Inf. Process. 21(1), 7 (2022)ADSMathSciNetMATH

42.

Singh, H., Dorai, K., et al.: Evolution of tripartite entangled states in a decohering environment and their experimental protection using dynamical decoupling. Phys. Rev. A 97(2), 022302 (2018)ADS

43.

Singh, H., Dorai, K., et al.: Constructing valid density matrices on an NMR quantum information processor via maximum likelihood estimation. Phys. Lett. A 380(38), 3051–3056 (2016)ADSMathSciNet

44.

Czarnik, P., Arrasmith, A., Coles, P.J., Cincio, L.: Error mitigation with Clifford quantum-circuit data. Quantum 5, 592 (2021)

45.

Giurgica-Tiron, T., Hindy, Y., LaRose, R., Mari, A., Zeng, W.J.: Digital zero noise extrapolation for quantum error mitigation. In: 2020 IEEE International Conference on Quantum Computing and Engineering (QCE), pp. 306–316 (2020). IEEE

46.

Temme, K., Bravyi, S., Gambetta, J.M.: Error mitigation for short-depth quantum circuits. Phys. Rev. Lett. 119(18), 180509 (2017)ADSMathSciNet

47.

ANIS, M.S., et al.: Qiskit: an open-source framework for quantum computing (2021). https://doi.org/10.5281/zenodo.2573505

48.

Munro, W.J., Azuma, K., Tamaki, K., Nemoto, K.: Inside quantum repeaters. IEEE J. Sel. Top. Quantum Electron. 21(3), 78–90 (2015)ADS

49.

Greenberger, D.M., Horne, M.A., Zeilinger, A.: Going beyond bell’s theorem. Bell’s theorem, quantum theory and conceptions of the universe, 69–72 (1989)

50.

Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Bell’s theorem without inequalities. Am. J. Phys. 58(12), 1131–1143 (1990)ADSMathSciNetMATH

51.

Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86(5), 910 (2001)ADS

52.

Nielsen, M.A.: Cluster-state quantum computation. Rep. Math. Phys. 57(1), 147–161 (2006)ADSMathSciNetMATH

53.

Sangouard, N., Simon, C., de Riedmatten, H., Gisin, N.: Quantum repeaters based on atomic ensembles and linear optics. Rev. Mod. Phys. 83, 33–80 (2011). https://doi.org/10.1103/RevModPhys.83.33ADSCrossRef

54.

Garcia-Escartin, J.C., Chamorro-Posada, P.: Equivalent quantum circuits. arXiv preprint arXiv:1110.2998 (2011)

55.

Georgopoulos, K., Emary, C., Zuliani, P.: Modeling and simulating the noisy behavior of near-term quantum computers. Phys. Rev. A 104(6), 062432 (2021)ADSMathSciNet

56.

Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information: 10th Anniversary Edition, 10th edn. Cambridge University Press, USA (2011)MATH

57.

Pedregosa, F., Varoquaux, G., Gramfort, A., Michel, V., Thirion, B., Grisel, O., Blondel, M., Prettenhofer, P., Weiss, R., Dubourg, V., Vanderplas, J., Passos, A., Cournapeau, D., Brucher, M., Perrot, M., Duchesnay, E.: Scikit-learn: machine learning in Python. J. Mach. Learn. Res. 12, 2825–2830 (2011)MathSciNetMATH

58.

Inc., P.T.: Collaborative Data Science. https://plot.ly

59.

Sun, J., Yuan, X., Tsunoda, T., Vedral, V., Benjamin, S.C., Endo, S.: Mitigating realistic noise in practical noisy intermediate-scale quantum devices. Phys. Rev. Appl. 15(3), 034026 (2021)ADS

60.

Coopmans, T., Knegjens, R., Dahlberg, A., Maier, D., Nijsten, L., de Oliveira Filho, J., Papendrecht, M., Rabbie, J., Rozpędek, F., Skrzypczyk, M., et al.: Netsquid, a network simulator for quantum information using discrete events. Commun. Phys. 4(1), 1–15 (2021)

61.

Maciejewski, F.B., Zimborás, Z., Oszmaniec, M.: Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography. Quantum 4, 257 (2020)

62.

Chen, Y., Farahzad, M., Yoo, S., Wei, T.-C.: Detector tomography on IBM quantum computers and mitigation of an imperfect measurement. Phys. Rev. A 100(5), 052315 (2019)ADS

63.

Hardy, L., Song, D.D.: Universal manipulation of a single qubit. Phys. Rev. A 63(3), 032304 (2001)ADS

64.

Bowdrey, M.D., Oi, D.K., Short, A.J., Banaszek, K., Jones, J.A.: Fidelity of single qubit maps. Phys. Lett. A 294(5–6), 258–260 (2002)ADSMathSciNetMATH

65.

Koch, J., Terri, M.Y., Gambetta, J., Houck, A.A., Schuster, D.I., Majer, J., Blais, A., Devoret, M.H., Girvin, S.M., Schoelkopf, R.J.: Charge-insensitive qubit design derived from the cooper pair box. Phys. Rev. A 76(4), 042319 (2007)ADS

66.

Mantri, A., Demarie, T.F., Fitzsimons, J.F.: Universality of quantum computation with cluster states and (x, y)-plane measurements. Sci. Rep. 7(1), 42861 (2017)ADS

67.

Luo, S., Zhang, Q.: Informational distance on quantum-state space. Phys. Rev. A 69(3), 032106 (2004)ADSMathSciNet

Title: Quantum state transfer: interplay between gate and readout errors
Authors: Bharat Thotakura
Tzu-Chieh Wei
Publication date: 01-07-2023
Publisher: Springer US
Published in: Quantum Information Processing / Issue 7/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-023-04030-0

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