Controllable two-qubit swapping gate using superconducting circuits

Rasmussen, S. E.; Christensen, K. S.; Zinner, N. T.

doi:10.1103/physrevb.99.134508

Cited by 14 publications

(6 citation statements)

References 64 publications

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“…These higher-dimensional local Hilbert spaces have been proposed as a way to simplify quantum logicoperations [69][70][71] and experimental realization of important gates such as the Toffoli gate has been achieved using photons [72]. While higher levels in transmons may be the source of unwanted leakage that must be minimized [73,74], they may also serve useful purposes, such as in the coupling of cavity and qubits [75,76] to achieve effective ZZ coupling terms from avoided crossings with higher levels in the spectrum [77]. More direct addressing of the higher levels of single transmon qubits has also been discussed [51,78].…”

Section: Three-level Superconducting Transmon Quantum Batterymentioning

confidence: 99%

Stable adiabatic quantum batteries

et al. 2019

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With the advent of quantum technologies comes the requirement of building quantum components able to store energy to be used whenever necessary, i.e. quantum batteries. In this paper we exploit an adiabatic protocol to ensure a stable charged state of a three-level quantum battery which allows to avoid the spontaneous discharging regime. We study the effects of the most relevant sources of noise on the charging process and, as an experimental proposal, we discuss superconducting transmon qubits. In addition we study the self-discharging of our quantum battery where it is shown that spectrum engineering can be used to delay such phenomena.

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Section: Three-level Superconducting Transmon Quantum Batterymentioning

confidence: 99%

Stable adiabatic quantum batteries

et al. 2019

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“…5(d). This can, e.g., be useful if one want to study qutrit systems [95][96][97], or the leakage from the qubit states to higher states [98,99]. In this case the operators will be represented as 3 × 3 matrices, the matrix representation of the step operators become…”

Section: Three-level Modelmentioning

confidence: 99%

The superconducting circuit companion -- an introduction with worked examples

Rasmussen,

Christensen,

Pedersen

et al. 2021

Preprint

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This article is a tutorial on the quantum treatment of superconducting electrical circuits. It is intended for new researchers with limited or no experience with the field, but should be accessible to anyone with a bachelor's degree in physics or similar. The tutorial has three parts. The first part introduces the basic methods used in quantum circuit analysis, starting from a circuit diagram and ending with a quantized Hamiltonian truncated to the lowest levels. The second part introduces more advanced methods supplementing the methods presented in the first part. The third part is a collection of worked examples of superconducting circuits. Besides the examples in the third part, the two first parts also includes examples in parallel with the introduction of the methods.

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“…For all simulations we use Hamiltonian parameters that are within the usual set of values for superconducting circuits [47][48][49], and we set H r = 10 • 2π MHz. The system is initialized in its instantaneous ground state for a particular value of H 0 .…”

Section: Simulating the Simple Systemmentioning

confidence: 99%

Topological phases in interacting spin-1 systems

Alnor¹,

Bækkegaard²,

Zinner

2021

Preprint

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The transitions among different topological phases of quantum systems has become a focus area in recent decades. In particular, the question of how to realize and manipulate systems with nontrivial first Chern number is pursued both experimentally and theoretically. Here we go beyond typical spin 1/2 systems and consider both single and coupled spin 1 systems as a means of realizing higher first Chern numbers and studying the transitions between different topological phases. We show that rich topological phase diagrams can be realized by coupling two spin 1 systems using both numerical and analytical methods. Furthermore, we consider a concrete realization of spin 1 systems using superconducting circuits. This realization includes non-standard spin-spin interaction terms that may endanger the topological properties. However, as we argue here, the realistic circuit Hamiltonian including all terms should be expected to show the rich phase structure as well. This puts our predictions within reach of state-of-the-art experimental setups.

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Controllable two-qubit swapping gate using superconducting circuits

Cited by 14 publications

References 64 publications

Stable adiabatic quantum batteries

Stable adiabatic quantum batteries

The superconducting circuit companion -- an introduction with worked examples

Topological phases in interacting spin-1 systems

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