Quantum logic gates for superconducting resonator qudits

Strauch, Frederick W.

doi:10.1103/physreva.84.052313

Cited by 44 publications

(32 citation statements)

References 49 publications

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“…In this paper we examine a general framework for testing the CGLMP inequality with qudits, analyze the potential complexity of each stage of the experiment, and evaluate the impact of different types of noise (depolarizing, dephasing, and amplitude damping) on the inequality. Our work is inspired by theoretical proposals to use the quantum states of superconducting resonators as qudits [23][24][25]; such systems have the potential for long-distance entanglement through microwave photons [26,27]. However, our analysis is intended to be general enough to guide experiments with other potential matter qudit systems, and our results may have implications for photonic qudits as well.…”

Section: Introductionmentioning

confidence: 99%

Higher-dimensional Bell inequalities with noisy qudits

Polozova

Strauch

2016

Phys. Rev. A

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Generalizations of the classic Bell inequality to higher dimensional quantum systems known as qudits are reputed to exhibit a higher degree of robustness to noise, but such claims are based on one particular noise model. We analyze the violation of the Collins-Gisin-Linden-Massar-Popescu inequality subject to more realistic noise sources and their scaling with dimension. This analysis is inspired by potential Bell inequality experiments with superconducting resonator-based qudits. We find that the robustness of the inequality to noise generally decreases with increasing qudit dimension.

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Section: Introductionmentioning

confidence: 99%

Higher-dimensional Bell inequalities with noisy qudits

Polozova

Strauch

2016

Phys. Rev. A

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“…In addition, the controlled-phase gate with two microwave-photon-resonator qubits has been previously proposed in Refs. [35,36]. The proposals [35,36] require several operational steps and the application of classical pulses.…”

Section: A Controlled-phase Gate On Two Resonatorsmentioning

confidence: 99%

“…Compared with Refs. [35,36], our proposal is much improved because our phase-gate can be achieved only using a single-step operation and no pulses are needed.…”

Section: A Controlled-phase Gate On Two Resonatorsmentioning

confidence: 99%

“…Based on circuit QED, there is much interest in large-scale QIP which usually involves two or more microwave resonators/cavities. Recently, a number of proposals have been presented for synthesizing entangled states (e.g., Bell states, GHZ states, NOON states, and entangled coherent states) of two or more than two resonators [23][24][25][26][27][28][29][30][31][32][33][34], and real- * Corresponding author: ycs@dlut.edu.cn izing two-qubit or multiqubit quantum gates with microwave photons distributed in two resonators [35,36]. In addition, a great deal of quantum effects and operations involved multiple microwave resonators have been experimentally demonstrated in circuit QED.…”

Section: Introductionmentioning

confidence: 99%

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Circuit QED: cross-Kerr effect induced by a superconducting qutrit without classical pulses

Liu

Zhang

Guo

et al. 2017

Quantum Inf Process

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The realization of cross-Kerr nonlinearity is an important task for many applications in quantum information processing. In this work, we propose a method for realizing cross-Kerr nonlinearity interaction between two superconducting coplanar waveguide resonators coupled by a three-level superconducting flux qutrit (coupler). By employing the qutrit-resonator dispersive interaction, we derive an effective Hamiltonian involving two-photon number operators and a coupler operator. This Hamiltonian can be used to describe a cross-Kerr nonlinearity interaction between two resonators when the coupler is in the ground state. Because the coupler is unexcited during the entire process, the effect of coupler decoherence can be greatly minimized. More importantly, compared with the previous proposals, our proposal does not require classical pulses. Furthermore, due to use of only a three-level qutrit, the experimental setup is much simplified when compared with previous proposals requiring a four-level artificial atomic systems. Based on our Hamiltonian, we implement a two-resonator qubits controlled-phase gate and generate a two-resonator entangled coherent state. Numerical simulation shows that the high-fidelity implementation of the phase gate and creation of the entangled coherent state are feasible with current circuit QED technology.

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“…Circuit QED has been studied a lot for achieving the basic tasks of QC on SQs or SRs, such as the construction of the single-qubit and the universal quantum gates [27][28][29][30][31][32][33], entangled state generation [34][35][36][37][38][39][40][41][42], and the measurement and the non-demolition detection on SQs or SRs [43][44][45][46]. The types for integrating the SQs and the SRs mainly contain some SQs coupled to a SR bus [47] or some SRs coupled to a SR bus [48] or a SQ [49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Universal Distributed Quantum Computing on Superconducting Qutrits with Dark Photons

et al. 2018

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We present a one-step scheme to construct the controlled-phase gate deterministically on remote transmon qutrits coupled to different resonators connected by a superconducting transmission line for an universal distributed quantum computing. Different from previous works on remote superconducting qubits, the present gate is implemented with coherent evolutions of the entire system in the all-resonance regime assisted by the dark photons to robust against the transmission line loss, which allows the possibility of the complex designation of a long-length transmission line to link lots of circuit QEDs. The length of the transmission line can reach the scale of several meters, which makes our scheme is suitable for the large-scale distributed quantum computing. This gate is a fast quantum entangling operation with a high fidelity of about 99%. Compare with previous works in other quantum systems for a distributed quantum computing, under the all-resonance regime, the present proposal does not require classical pulses and ancillary qubits, which relaxes the difficulty of its implementation largely.

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Quantum logic gates for superconducting resonator qudits

Cited by 44 publications

References 49 publications

Higher-dimensional Bell inequalities with noisy qudits

Higher-dimensional Bell inequalities with noisy qudits

Circuit QED: cross-Kerr effect induced by a superconducting qutrit without classical pulses

Universal Distributed Quantum Computing on Superconducting Qutrits with Dark Photons

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