Fault-Tolerant Qubit from a Constant Number of Components

Wan, Kianna; Choi, Soonwon; Kim, Isaac H.; Shutty, Noah; Hayden, Patrick

doi:10.1103/prxquantum.2.040345

Cited by 21 publications

(38 citation statements)

References 70 publications

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“…In order to generate this state, it was necessary to perform multiple CZ gate operations, including two CZ gate operations for photon 1. Such use of two time-delayed feedback events for an emitted photon is the most fundamental prerequisite for extending our 2D cluster state generation scheme to generation of 3D cluster states [10,24,25]. Thus, generation of the 5 photon state illustrated in Fig.…”

Section: Quantum State Tomography Resultsmentioning

confidence: 99%

“…Not only would these discussed improvements substantially increase the realizable size of 2D cluster states, they would also allow for generation of more complex graph states such as 3D cluster states. Our time-delayed feedback based scheme for generating 2D cluster states can be easily extended to generate 3D cluster states by simply adding another time-delayed feedback event with a different delay for every photon [24,25] (which is achievable simply by incorporation of another mirror qubit), where each photon would then be re-scattered by the emitter qubit twice at different times. Indeed, as a preliminary demonstration of this capability, in Appendix D we demonstrate generation of a 5-photon tetrahedrallike cluster state where we implemented the time-delayed feedback process twice for one photon.…”

Section: Discussionmentioning

confidence: 99%

“…We stress that in addition to increasing cluster state size, cluster state dimensionality could be increased to 3D by coupling of another mirror qubit somewhere along the delay line rather than at the end, which would impart the ability to perform time-delayed feedback with two different delays. The ability to perform two timedelayed feedback events with two different delays is the pre-requisite to generating 3D cluster states via sequential photon emission and time-delayed feedback [24,25], because it allows for sufficient non-nearest neighbor entanglement between photons of the emitted pulse train such that the entanglement topology is that of a 3D cluster state. While this extension of our scheme would necessitate significantly larger delays, we believe achieving such delays is possible.…”

Section: Scaling the Size Of The Cluster Statementioning

confidence: 99%

“…Note that while sequential emission from a single coherent emitter is sufficient to generate 1D cluster states, higher dimensional cluster states require more emitters or an additional memory element. A promising approach is based on delay lines generating a time-delayed feedback mechanism, expanding the class of cluster states that can be generated with a single emitter [23][24][25][26][27]. Superconducting circuit QED system are a natural fit to implement such protocols.…”

Section: Introductionmentioning

confidence: 99%

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Deterministic Generation of Multidimensional Photonic Cluster States with a Single Quantum Emitter

Ferreira¹,

Kim²,

Butler³

et al. 2022

Preprint

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Multidimensional photonic graph states, such as cluster states, have prospective applications in quantum metrology, secure quantum communication, and measurement-based quantum computation. However, to date, generation of multidimensional cluster states of photonic qubits has relied on probabilistic methods that limit the scalability of typical generation schemes in optical systems.Here we present an experimental implementation in the microwave domain of a resource-efficient scheme for the deterministic generation of 2D photonic cluster states. By utilizing a coupled resonator array as a slow-light waveguide, a single flux-tunable transmon qubit as a quantum emitter, and a second auxiliary transmon as a switchable mirror, we achieve rapid, shaped emission of entangled photon wavepackets, and selective time-delayed feedback of photon wavepackets to the emitter qubit. We leverage these capabilities to generate a 2D cluster state of four photons with 70% fidelity, as verified by tomographic reconstruction of the quantum state. We discuss how our scheme could be straightforwardly extended to the generation of even larger cluster states, of even higher dimension, thereby expanding the scope and practical utility of such states for quantum information processing tasks.

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Section: Quantum State Tomography Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Scaling the Size Of The Cluster Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Deterministic Generation of Multidimensional Photonic Cluster States with a Single Quantum Emitter

Ferreira¹,

Kim²,

Butler³

et al. 2022

Preprint

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show abstract

“…Analogous to photons in quantum electrodynamics, phonons can be used to store, process, and transduce quantum information. The inclusion of phonons to the quantum toolbox gives a threefold advantage: first, losses by radiation into the electromagnetic field vacuum are no longer present, as phonons can only propagate through some material medium (usually in solid-state devices); second, phonon energy scales are, in general, different from the optical energy scale, making phonons especially suited for on-chip communication [9,10] in a variety of characteristic energies, from MHz to THz [11][12][13][14][15][16]; third, many experimental techniques developed by solid-state physicists [7,[16][17][18] become available for quantum information processing tasks with phonons [10].…”

mentioning

confidence: 99%

Dark Exciton Giant Rabi Oscillations with no External Magnetic Field

Vargas-Calderón,

Vinck-Posada,

Villas-Boas

2021

Preprint

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Multi-phonon physics is an emerging field that serves as a test bed for fundamental quantum physics and several applications in metrology, on-chip communication, among others. Quantum acoustic cavities or resonators are devices that are being used to study multi-phonon phenomena both theoretically and experimentally. In particular, we study a system consisting of a semiconductor quantum dot pumped by a driving laser, and coupled to an acoustic cavity. This kind of systems have proven to yield interesting multi-phonon phenomena, but the description of the quantum dot has been limited to a two-level system. This limitation restrains the complexity that a true semiconductor quantum dot can offer. Instead, in this work we consider a model where the quantum dot can have both bright and dark excitons, the latter being particularly useful due to their lower decoherence times, because they do not present spontaneous photon emission. In this setup, we demonstrate that by fine-tuning the driving laser frequency, one is able to realise giant Rabi oscillations between the vacuum state and a dark exciton state with N -phonon bundles. From this, we highlight two outstanding features: first, we are able to create dark states excitations in the quantum dot without the usual external magnetic field needed to do so; and second, in a dissipative scenario where the acoustic cavity and the quantum dot suffer from losses, the system acts as a phonon gun able to herald N -phonon bundles.

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A parametrically programmable delay line for microwave photons

Makihara,

Lee,

Guo

et al. 2024

Nat Commun

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Delay lines that store quantum information are crucial for advancing quantum repeaters and hardware efficient quantum computers. Traditionally, they are realized as extended systems that support wave propagation but provide limited control over the propagating fields. Here, we introduce a parametrically addressed delay line for microwave photons that provides a high level of control over the stored pulses. By parametrically driving a three-wave mixing circuit element that is weakly hybridized with an ensemble of resonators, we engineer a spectral response that simulates that of a physical delay line, while providing fast control over the delay line’s properties. We demonstrate this novel degree of control by choosing which photon echo to emit, translating pulses in time, and even swapping two pulses, all with pulse energies on the order of a single photon. We also measure the noise added from our parametric interactions and find it is much less than one photon.

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Fault-Tolerant Qubit from a Constant Number of Components

Cited by 21 publications

References 70 publications

Deterministic Generation of Multidimensional Photonic Cluster States with a Single Quantum Emitter

Deterministic Generation of Multidimensional Photonic Cluster States with a Single Quantum Emitter

Dark Exciton Giant Rabi Oscillations with no External Magnetic Field

A parametrically programmable delay line for microwave photons

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