Propagation of microwave photons along a synthetic dimension

Lee, Nathan R.; Pechal, Marek; Wollack, E. Alex; Arrangoiz-Arriola, Patricio; Wang, Zhaoyou; H, Safavi-Naeni, Amir

doi:10.1103/physreva.101.053807

Cited by 15 publications

(13 citation statements)

References 75 publications

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“…34 , and the qubit had T 1 and T 2 values of 15.5 μs and 3.4 μs respectively. While the use of dynamic flux modulation to induce multimode couplings among JPOs (with or without a bus) has not yet been experimentally investigated to the best of our knowledge, flux modulation has been used to construct two-qubit gates between transmon qubits 40 as well as to couple multiple modes of a transmission line 44 . Meanwhile, bus-mediated multi-qubit couplings achieving all-to-all entanglement have now reached the scale of up to 20 Fig.…”

Section: Discussionmentioning

confidence: 99%

A quantum annealer with fully programmable all-to-all coupling via Floquet engineering

Onodera

McMahon

2020

npj Quantum Inf

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Quantum annealing is a promising approach to heuristically solving difficult combinatorial optimization problems. However, the connectivity limitations in current devices lead to an exponential degradation of performance on general problems. We propose an architecture for a quantum annealer that achieves full connectivity and full programmability while using a number of physical resources only linear in the number of spins. We do so by application of carefully engineered periodic modulations of oscillatorbased qubits, resulting in a Floquet Hamiltonian in which all the interactions are tunable. This flexibility comes at the cost of the coupling strengths between qubits being smaller than they would be compared with direct coupling, which increases the demand on coherence times with increasing problem size. We analyze a specific hardware proposal of our architecture based on Josephson parametric oscillators. Our results show how the minimum-coherence-time requirements imposed by our scheme scale, and we find that the requirements are not prohibitive for fully connected problems with up to at least 1000 spins. Our approach could also have impact beyond quantum annealing, since it readily extends to bosonic quantum simulators, and would allow the study of models with arbitrary connectivity between lattice sites.

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Section: Discussionmentioning

confidence: 99%

A quantum annealer with fully programmable all-to-all coupling via Floquet engineering

Onodera

McMahon

2020

npj Quantum Inf

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“…We further reconstruct the realized Hamiltonian through detailed scattering measurements. We note a recent work that looked at AQS in a parametric cavity, but with a pumping scheme that lacked the addressibility and phase control demonstrated here [27].…”

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confidence: 89%

Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity

Hung,

Busnaina,

Chang

et al. 2021

Preprint

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“…The successful demonstration of synthetic frequency dimensions with state-of-the-art chips provides a promising candidate for further manipulating the photon's spectrum in the quantum regime. In a completely different frequency range, synthetic dimensions for microwave photons have been reported in a modulated superconducting resonator 43,44 [see Fig. 3(c)] at cryogenic temperatures or a chain of modulated RF cavities at room temperature 101 .…”

Section: A Construction Of Synthetic Frequency Latticesmentioning

confidence: 99%

“…In the past decade, synthetic dimensions have been extensively explored in systems including cold atoms [18][19][20][21][22][23][24][25][26][27][28][29][30][31] , hot atomic gases 32,33 , photonic platforms [34][35][36][37][38][39][40][41] , superconducting circuits [42][43][44] , and optomechanics 45 . In the photonic implementations, for the quantum (few-photon) regime, synthetic a) Electronic mail: yuanluqi@sjtu.edu.cn b) Electronic mail: shanhui@stanford.edu lattices with arbitrary dimensions were constructed using the Fock-state ladder formed by an atom coupled to several multimode cavities 46,47 .…”

Section: Introductionmentioning

confidence: 99%

Synthetic frequency dimensions in dynamically modulated ring resonators

2021

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The concept of synthetic dimensions in photonics has attracted rapidly growing interest in the past few years. Among a variety of photonic systems, the ring resonator system under dynamic modulation has been investigated in depth both in theory and experiment and has proven to be a powerful way to build synthetic frequency dimensions. In this Tutorial, we start with a pedagogical introduction to the theoretical approaches in describing the dynamically modulated ring resonator system and then review experimental methods in building such a system. Moreover, we discuss important physical phenomena in synthetic dimensions, including nontrivial topological physics. This Tutorial provides a pathway toward studying the dynamically modulated ring resonator system and understanding synthetic dimensions in photonics and discusses future prospects for both fundamental research and practical applications using synthetic dimensions.

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Propagation of microwave photons along a synthetic dimension

Cited by 15 publications

References 75 publications

A quantum annealer with fully programmable all-to-all coupling via Floquet engineering

A quantum annealer with fully programmable all-to-all coupling via Floquet engineering

Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity

Synthetic frequency dimensions in dynamically modulated ring resonators

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