Phase flip code with semiconductor spin qubits

Riggelen, F. van; Lawrie, William I. L.; Russ, M.; Hendrickx, Nico W.; Sammak, A.; Rispler, M.; Terhal, B. M.; Scappucci, G.; Veldhorst, M.

doi:10.48550/arxiv.2202.11530

Cited by 2 publications

(7 citation statements)

References 57 publications

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“…Meanwhile, methods for multiple quantum dots tuning using virtual gates [585] and automated machine learning were developed [586,587] and multiplexed quantum dots readout was realized [568,588]. Toward QEC, a three-qubit phase error correction algorithm was carried out by two groups [25,26]. Moreover, qubit networks could be a remedy for the dense packaging problem and could reduce the fan-out overhead [579].…”

Section: Semiconductor Spin Qubitsmentioning

confidence: 99%

“…(E) Measured expectation values h z j i after initializing t |"""""""""i. The data is corrected for measurement errors [25].…”

Section: Nv Centersmentioning

confidence: 99%

“…Here j , = x, y, z are the Pauli matrices for spin j, B = c B z /2 is the magnetic field splitting, c is the 13 C gyromagnetic ratio, J jk is the zz component of the dipole-dipole interaction between spins j and k, ⌦(t) is the applied time-dependent rf field and we set ~= 1. The system has previously been characterized in detail [23,25]; for 27 13 C spins the hyperfine shifts h j , the spatial coordinates, and the 351 interaction terms J jk are known.…”

Section: Nv Centersmentioning

confidence: 99%

“…To realize the glob tions, we develop multi-frequency rf pulses that neously rotate a chosen subset of spins (H rf in [25]. We symmetrize the Floquet sequence su…”

Section: Nv Centersmentioning

confidence: 99%

“…Efforts have been made to develop specialized quantum computers for certain tasks, such as the D-wave annealing machines [19] and the aforementioned photonic boson sampling circuits [16][17][18]. Moreover, practical QEC has been explored in various physical systems, such as superconducting circuits [20][21][22][23][24], ion traps, semiconductors [25,26], and nitrogen-vacancy (NV) centers in diamond [27][28][29]. Considering its speeding-up strides, the breakthrough toward universal fault-tolerant quantum computation is closely tangible.…”

Section: Introductionmentioning

confidence: 99%

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Noisy intermediate-scale quantum computers

Cheng

Deng

et al. 2023

Front. Phys.

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Quantum computers have made extraordinary progress over the past decade, and significant milestones have been achieved along the path of pursuing universal fault-tolerant quantum computers. Quantum advantage, the tipping point heralding the quantum era, has been accomplished along with several waves of breakthroughs. Quantum hardware has become more integrated and architectural compared to its toddler days. The controlling precision of various physical systems is pushed beyond the fault-tolerant threshold. Meanwhile, quantum computation research has established a new norm by embracing industrialization and commercialization. The joint power of governments, private investors, and tech companies has significantly shaped a new vibrant environment that accelerates the development of this field, now at the beginning of the noisy intermediate-scale quantum era. Here, we first discuss the progress achieved in the field of quantum computation by reviewing the most important algorithms and advances in the most promising technical routes, and then summarizing the next-stage challenges. Furthermore, we illustrate our confidence that solid foundations have been built for the fault-tolerant quantum computer and our optimism that the emergence of quantum killer applications essential for human society shall happen in the future.

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Section: Semiconductor Spin Qubitsmentioning

confidence: 99%

“…(E) Measured expectation values h z j i after initializing t |"""""""""i. The data is corrected for measurement errors [25].…”

Section: Nv Centersmentioning

confidence: 99%

Section: Nv Centersmentioning

confidence: 99%

“…To realize the glob tions, we develop multi-frequency rf pulses that neously rotate a chosen subset of spins (H rf in [25]. We symmetrize the Floquet sequence su…”

Section: Nv Centersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Noisy intermediate-scale quantum computers

Cheng

Deng

et al. 2023

Front. Phys.

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Benchmarking quantum error-correcting codes on quasi-linear and central-spin processors

Finsterhoelzl

Burkard

2022

Quantum Sci. Technol.

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We evaluate the performance of small error-correcting codes, which we tailor to hardware platforms of very different connectivity and coherence: on a superconducting processor based on transmon qubits and a spintronic quantum register consisting of a nitrogen-vacancy center in diamond. Taking the hardware-specific errors and connectivity into account, we investigate the dependence of the resulting logical error rate on the platform features such as the native gates, native connectivity, gate times, and coherence times. Using a standard error model parameterized for the given hardware, we simulate the performance and benchmark these predictions with experimental results when running the code on the superconducting quantum device. The results indicate that for small codes, the quasi-linear layout of the superconducting device is advantageous. Yet, for codes involving multi-qubit controlled operations, the central-spin connectivity of the color centers enables lower error rates.

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Phase flip code with semiconductor spin qubits

Cited by 2 publications

References 57 publications

Noisy intermediate-scale quantum computers

Noisy intermediate-scale quantum computers

Benchmarking quantum error-correcting codes on quasi-linear and central-spin processors

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