Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming

Devra, Amit; Prabhu, Prithviraj; Singh, Harpreet; Arvind, .; Dorai, Kavita

doi:10.1007/s11128-018-1835-8

Cited by 16 publications

(4 citation statements)

References 63 publications

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“…Table 5 shows the theoretical and experimental results of the relaxation times for this molecule. The experimental values were taken from [53]. For F1-F3 atoms, the differences between theoretical and experimental values were: for T 1 , 0.08 s, and for T 2 , 0.05 s. For the F1-F2 atoms, the differences between theoretical and experimental values were 0.31 s for T 1 and 0.03 s for T 2 .…”

Section: Validation Of the Theoretical Methodologymentioning

confidence: 99%

Extending NMR Quantum Computation Systems by Employing Compounds with Several Heavy Metals as Qubits

et al. 2022

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Nuclear magnetic resonance (NMR) is a spectroscopic method that can be applied to several areas. Currently, this technique is also being used as an experimental quantum simulator, where nuclear spins are employed as quantum bits or qubits. The present work is devoted to studying heavy metal complexes as possible candidates to act as qubit molecules. Nuclei such 113Cd, 199Hg, 125Te, and 77Se assembled with the most common employed nuclei in NMR-QIP implementations (1H, 13C, 19F, 29Si, and 31P) could potentially be used in heteronuclear systems for NMR-QIP implementations. Hence, aiming to contribute to the development of future scalable heteronuclear spin systems, we specially designed four complexes, based on the auspicious qubit systems proposed in our previous work, which will be explored by quantum chemical calculations of their NMR parameters and proposed as suitable qubit molecules. Chemical shifts and spin–spin coupling constants in four complexes were examined using the spin–orbit zeroth-order regular approximation (ZORA) at the density functional theory (DFT) level, as well as the relaxation parameters (T1 and T2). Examining the required spectral properties of NMR-QIP, all the designed complexes were found to be promising candidates for qubit molecules.

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Section: Validation Of the Theoretical Methodologymentioning

confidence: 99%

Extending NMR Quantum Computation Systems by Employing Compounds with Several Heavy Metals as Qubits

et al. 2022

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“…The deviations in the simulated process matrix from the desired process matrix arises due to experimental errors in state preparation, implementa-tion of unitary dilation operators and inevitable systematic errors. These errors can be reduced using appropriate optimization protocols [41]. Particularly for the MFGP process, the experimental implementation of all four unitary dilation operators requires 9 CNOT gates (i.e.9 CNOT gates × 4 Kraus operators = 36 CNOT gates in total to simulate the MFGP process), while for the phase damping channel, the experimental implementation of the unitary dilation operator U A1 , U A2 , U A3 and U A4 requires 8, 3, 3 and 0 CNOT gates, respectively (i.e.14 CNOT gates in total to simulate the phase damping channel).…”

Section: B Simulating a Two-qubit Phase Damping Channelmentioning

confidence: 99%

Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm

Gaikwad,

Dorai

2022

Preprint

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We experimentally implement the Sz.-Nagy dilation algorithm to simulate open quantum dynamics on an nuclear magnetic resonance (NMR) quantum processor. The Sz.-Nagy algorithm enables the simulation of the dynamics of arbitrary-dimensional open quantum systems, using only a single ancilla qubit. We experimentally simulate the action of two non-unitary processes, namely, a phase damping channel acting independently on two qubits and a magnetic field gradient pulse (MFGP) acting on an ensemble of two coupled nuclear spin-1/2 particles. To evaluate the quality of the experimentally simulated quantum process, we perform convex optimization-based full quantum process tomography to reconstruct the quantum process from the experimental data and compare it with the target quantum process to be simulated.

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“…Efficient quantum circuits for a 3-qubit NMR (nuclear magnetic resonance) quantum processor [67] can be obtained by GP algorithms as introduced in [22]. By using GP generated circuits for Toffoli and Fredkin gates, solutions that are robust against decoherence errors can be obtained.…”

Section: B Genetic Programmingmentioning

confidence: 99%

Survey on Quantum Circuit Compilation for Noisy Intermediate-Scale Quantum Computers: Artificial Intelligence to Heuristics

Kusyk

Saeed

2021

IEEE Trans. Quantum Eng.

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Computationally expensive applications, including machine learning, chemical simulations and financial modeling, are promising candidates for noisy intermediate scale quantum (NISQ) computers. In these problems, one important challenge is mapping a quantum circuit onto NISQ hardware while satisfying physical constraints of an underlying quantum architecture. Quantum circuit compilation (QCC) aims to generate feasible mappings such that a quantum circuit can be executed in a given hardware platform with acceptable confidence in outcomes. Physical constraints of a NISQ computer change frequently, requiring QCC process to be repeated often. When a circuit cannot directly be executed on a quantum hardware due to its physical limitations, it is necessary to modify the circuit by adding new quantum gates and auxiliary qubits, increasing its space and time complexity. An inefficient QCC may significantly increase error rate and circuit latency for even the simplest algorithms. In this survey, we present AI and heuristic based methods recently reported in the literature that attempt to address these QCC challenges. We group them based on underlying techniques that they implement, such as AI algorithms including genetic algorithms, genetic programming, ant colony optimization and AI planning, and heuristics methods employing greedy algorithms, satisfiability problem solvers, dynamic and graph optimization techniques. We discuss performance of each QCC technique and evaluate its potential limitations.

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Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming

Cited by 16 publications

References 63 publications

Extending NMR Quantum Computation Systems by Employing Compounds with Several Heavy Metals as Qubits

Extending NMR Quantum Computation Systems by Employing Compounds with Several Heavy Metals as Qubits

Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm

Survey on Quantum Circuit Compilation for Noisy Intermediate-Scale Quantum Computers: Artificial Intelligence to Heuristics

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