Superconducting Circuit Companion—an Introduction with Worked Examples

Rasmussen, S. E.; Christensen, Kim; Pedersen, Simon Panyella; Kristensen, Lasse Bjørn; Bækkegaard, Thomas; Loft, N. J. S.; Zinner, N. T.

doi:10.1103/prxquantum.2.040204

Cited by 59 publications

(34 citation statements)

References 218 publications

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“…trapped ions [29], [30] and superconducting electronics [31], [32]. In this article, we focus on the last category which itself contains a variety of possible manifestations [33].…”

Section: Quantum Computing Approachesmentioning

confidence: 99%

Material matters in superconducting qubits

Murray

2021

Materials Science and Engineering: R: Reports

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“…trapped ions [29], [30] and superconducting electronics [31], [32]. In this article, we focus on the last category which itself contains a variety of possible manifestations [33].…”

Section: Quantum Computing Approachesmentioning

confidence: 99%

Material matters in superconducting qubits

Murray

2021

Materials Science and Engineering: R: Reports

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“…This Hamiltonian describes a modified harmonic potential with annharmonicity δ, which is reminiscent of the one obtained for superconducting qubits [40][41][42][43]. In particular, the change of variables θπ → q/r leads to…”

Section: Electronic Qubit Encodingmentioning

confidence: 95%

“…Indeed, when driving the lowest excited state, the probability to gain a second quantum of energy is negligible. This scheme is often used in artificial atoms, such as in superconducting qubits [42,43]. In the case of the nanotorus, increasing the external magnetic field B allows one to produce an effective two-level system which spans the subspace S qb = {|l = 0, m = 0 , |l = 1, m = 0 }, with the main quantum number m = 0 and l = {0, 1}, see Fig.…”

Section: Electronic Qubit Encodingmentioning

confidence: 99%

Encoding quantum bits in bound electronic states of a graphene nanotorus

Furtado,

Ramos,

Silva

et al. 2022

Preprint

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We propose to use the quantum states of an electron trapped on the inner surface of a graphene nanotorus to realize as a new kind of physical quantum bit, which can be used to encode quantum information. Fundamental tasks for quantum information processing, such as the qubit initialization and the implementation of arbitrary single qubit gates, can be performed using external magnetic and electric fields. We also analyze the robustness of the device again systematic errors, which can be suppressed by a suitable choice of the external control fields. These findings open new prospects for the development an alternative platform for quantum computing, for which the scalability remains to be determined.

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“…a more realistic description of an experiment is obtained. For a well-tuned qubit the transversal lifetime is limited by the longitudinal since T 2 → 2T 1 [50,60]. By the discussion of Section III A, a factor on the order of unity in the relaxation rate does not matter much, hence we choose 15) at the noise rates displayed on top of the panels.…”

Section: Multiple Relaxation Channelsmentioning

confidence: 99%

Dynamical quantum phase transitions in a noisy lattice gauge theory

Jensen,

Pedersen,

Zinner

2022

Preprint

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Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both highenergy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to study e.g. dynamics of such theories. The massive Schwinger model is known to exhibit intricate properties of more complicated theories and has recently been shown to undergo dynamical quantum phase transitions out of equilibrium. With current technology, noise is inevitable and potentially fatal for a successful quantum simulation. This paper studies the dynamics subject to noise of a (1 + 1)D U(1) quantum link model following a quench of the sign of the mass term. We find that not only is the system capable of handling noise at rates realistic in NISQ-era devices, promising the possiblity to study the target dynamics with current technology, but the effect of noise can be understood in terms of simple models. Specifically the gauge-breaking nature of bit-flip channels results in exponential dampening of state amplitudes, and thus observables, which does not affect the structures of interest. This is especially important as it demonstrates that the gauge theory can be successfully studied with devices that only exhibit approximate gauge invariance.

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Superconducting Circuit Companion—an Introduction with Worked Examples

Cited by 59 publications

References 218 publications

Material matters in superconducting qubits

Material matters in superconducting qubits

Encoding quantum bits in bound electronic states of a graphene nanotorus

Dynamical quantum phase transitions in a noisy lattice gauge theory

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