#EXPERIMENTAL QUANTUM ERROR CORRECTION PDF#

Litinski, D.: A game of surface codes: large-scale quantum computing with lattice surgery. (2021)160Įndo, S., Benjamin, S.C., Li, Y.: Practical quantum error mitigation for near-future applications. ĭymarsky, A., Shapere, A.: Quantum stabilizer codes, lattices, and CFTs. , arXiv: quant-ph/0406196īravyi, S., Englbrecht, M., König, R., Peard, N.: Correcting coherent errors with surface codes. KeywordsĪaronson, S., Gottesman, D.: Improved simulation of stabilizer circuits.

#EXPERIMENTAL QUANTUM ERROR CORRECTION PDF#

Briefly, the final result after correction is the sum of PDF and PDU. Hence we are able to create a Phase Distortion Unraveling (PDU) function for each qubit and for whole system as well, that depends on this phase.

We have observed and experimentally proved in this work, that error of this probability distribution is correlated with the local quantum phase of qubits involved in computations. Then we observe the probability distribution function (PDF) thus obtained, which is considered as the final result of computation. Instead of that, we provide a number of same experiments. Quantum sampling is the method, which we deliberately decline to obtain one deterministic result of one-shot computation in. In this work we present the method of determining such a correction and applying it to practical quantum-sampling algorithms.

Then being so, for quantum sampling based computations, one can determine the correction experimentally and use it until the next calibration, without a need of utilize additional resources. We have observed, in statistical sense, that the qubit’s error in real quantum computers, once calibrated doesn’t change much until next one. Those methods, however, demand additional resources, like quantum gates, qubits or time. Error correction is wide and well elaborated area of quantum information theory.

Experimental quantum error correction