Quantum phase estimation algorithm in presence of static imperfections

Abstract

Abstract. We study numerically the effects of static imperfections and residual couplings between qubits for the quantum phase estimation algorithm with two qubits. We show that the success probability of the algorithm is affected significantly more by static imperfections than by random noise errors in quantum gates. An improvement of the algorithm accuracy can be reached by application of the Pauli-random-error-correction method (PAREC).

Iterative phase estimation

“…The method of Dobšíček et al has recently been carried out on experimental data in [18]. The method of Dobšíček et al [15] has been analysed when there are internal static imperfections and residual couplings between qubits [19]. It was shown that this type of noise is detrimental to the performance of Dobšíček's method, however, solutions were found to overcome this problem in [19].…”

“…For the iterative algorithm, it is required that φ π/3, which holds if α = 0.612. Then (A.1) and (A.2) are equivalent to (18) and (19).…”

Iterative phase estimation

“…The method of Dobšíček et al [15] has been analysed when there are internal static imperfections and residual couplings between qubits [19]. It was shown that this type of noise is detrimental to the performance of Dobšíček's method, however, solutions were found to overcome this problem in [19].…”

“…For the iterative algorithm it is required that ∆ φ ≤ π/3, which holds if α = 0.612. Then (A.1) and (A.2) are equivalent to (18) and (19).…”

Quantum phase estimation in presence of glassy disorder

“…It is thus reasonable to explore the effects of noise on the performance of the quantum phase estimation process. QPE has been analyzed by considering various physically relevant noise models [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. For example, the effects of white, bit flip, phase flip, and bit-phase flip noise on QPEA are discussed in [32,34].…”