Abstract
We prove that a quantum circuit together with measurement apparatuses and EPR sources can be self-tested, i.e. fully verified without any reference to some trusted set of quantum devices.
To achieve our goal we define the notions of simulation and equivalence. Using these two concepts, we construct sets of simulation conditions which imply that the physical device of interest is equivalent to the one it is supposed to implement. Another benefit of our formalism is that our statements can be proved to be robust.
Finally, we design a test for quantum circuits whose complexity is polynomial in the number of gates and qubits, and the required precision.
Supported by QAIP, AlgoQP, NSERC, ARDA, ORDCF, CFI, CIAR, ResQuant.
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References
Blum, M., Kannan, S.: Designing programs that check their work. J. ACM 42(1), 269–291 (1995)
Blum, M., Luby, M., Rubinfeld, R.: Self-testing/correcting with applications to numerical problems. J. Computer and System Sciences 47(3), 549–595 (1993)
Mayers, D., Yao, A.: Quantum cryptography with imperfect apparatus. In: Proceedings of 39th IEEE FOCS, pp. 503–509 (1998)
Dam, W., Magniez, F., Mosca, M., Santha, M.: Self-testing of universal and fault-tolerant sets of quantum gates. In: Proc. of 32nd ACM STOC, pp. 688–696 (2000)
Buhrman, H., Fortnow, L., Newman, I., Röhrig, H.: Quantum property testing. In: Proc. of 14th ACM-SIAM SODA, pp. 480–488 (2003)
Friedl, K., Magniez, F., Santha, M., Sen, P.: Quantum testers for hidden group properties. In: Rovan, B., Vojtáš, P. (eds.) MFCS 2003. LNCS, vol. 2747, pp. 419–428. Springer, Heidelberg (2003)
Rudolph, T., Grover, L.: A 2–rebit gate universal for quantum computing (2002)
Rubinfeld, R., Sudan, M.: Robust characterizations of polynomials with applications to program testing. SIAM J. Computing 25(2), 23–32 (1996)
Rubinfeld, R.: On the robustness of functional equations. SIAM J. Computing 28, 1972–1997 (1999)
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© 2006 Springer-Verlag Berlin Heidelberg
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Magniez, F., Mayers, D., Mosca, M., Ollivier, H. (2006). Self-testing of Quantum Circuits. In: Bugliesi, M., Preneel, B., Sassone, V., Wegener, I. (eds) Automata, Languages and Programming. ICALP 2006. Lecture Notes in Computer Science, vol 4051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11786986_8
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DOI: https://doi.org/10.1007/11786986_8
Publisher Name: Springer, Berlin, Heidelberg
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