Qutrit Randomized Benchmarking

Morvan, Alexis; Ramasesh, Vinay; Blok, Machiel; Kreikebaum, John Mark; O’Brien, Kevin; Chen, Larry; Mitchell, Bradley; Naik, Ravi; Santiago, David I.; Siddiqi, Irfan

doi:10.1103/physrevlett.126.210504

Cited by 77 publications

(53 citation statements)

References 38 publications

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“…We start by detailing the basic design and operation of superconducting qubits containing one or more tunnel junctions embedded within reactive circuit elements. 31 Many of these circuits have several quantum energy levels in a nonlinear potential and can, in general, function as qudits with three 32,33 or more logical states, but we will focus on a simple qubit description to frame our discussion of materials optimization. At low excitation power in the zero-voltage or 'superconducting' state, the tunnel junction is characterized by…”

Section: [H1] Conventional Josephson Tunnel Junction Qubitsmentioning

confidence: 99%

Engineering high-coherence superconducting qubits

Siddiqi

2021

Nat Rev Mater

145

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Advances in materials science and engineering have played a central role in the development of classical computers, and will undoubtedly be critical in propelling the maturation of quantum information technologies. In approaches to quantum computation based on superconducting circuits, as one goes from bulk materials to functional devices, amorphous insulating films and nonequilibrium excitations-electronic and phononic-are introduced, leading to dissipation and fluctuations that limit the computational power of state-of-the-art qubits and processors. In this Review, the major sources of decoherence in superconducting qubits are identified through an exploration of seminal qubit and resonator experiments. The proposed microscopic mechanisms associated with these imperfections are summarized, and directions for future research are discussed. The trade-offs between simple qubit primitives based on a single Josephson tunnel junction and more complex designs that use additional circuit elements, or new junction modalities, to reduce sensitivity to local noise sources are discussed, particularly in the context of materials optimization strategies for each architecture.

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Section: [H1] Conventional Josephson Tunnel Junction Qubitsmentioning

confidence: 99%

Engineering high-coherence superconducting qubits

Siddiqi

2021

Nat Rev Mater

145

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“…Although, the representation of qudits with arbitrary dimension into elementary qubits is computationally efficient, even small improvements in hardware requirements can be of great practical importance in the era of noisy intermediate-scale quantum (NISQ) devices [26]. In addition, there is an increased interest in employing qudit systems as quantum information platforms [27], and there has been great experimental progress in realizing quantum information processing with qudits such as photons [28], ions [29], superconducting circuits [30], nuclear magnetic resonance platforms [31], as well as Rydberg atoms [24,32].…”

Section: Introductionmentioning

confidence: 99%

Quantum approximate optimization algorithm for qudit systems with long-range interactions

Deller¹,

Schmitt²,

Lewenstein³

et al. 2022

Preprint

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A frequent starting point of quantum computation platforms are two-state quantum systems, i.e., qubits. However, in the context of integer optimization problems, relevant to scheduling optimization and operations research, it is often more resource-efficient to employ quantum systems with more than two basis states, so-called qudits. Here, we discuss the quantum approximate optimization algorithm (QAOA) for qudits, layout its implementation in platforms with long-range interactions between qudits such as trapped ions, cold atomic mixtures, Rydberg atoms and atoms in cavities. We illustrate how the QAOA can be used to formulate a variety of integer optimization problems such as graph coloring problems or electric vehicle (EV) charging optimization. In addition, we comment on the implementation of constraints and describe three methods to include these into a quantum circuit of a QAOA by penalty contributions to the cost Hamiltonian, conditional gates using ancilla qubits, and a dynamical decoupling strategy. Finally, as a showcase of qudit-based QAOA, we present numerical results for a charging optimization problem mapped onto a maxk-graph coloring problem. Our work illustrates the flexibility of qudit systems to solve integer optimization problems.

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“…It has been experimentally demonstrated that the higher excited states of a transmon are almost as well controllable and measurable as the ones in the qubit subspace [23][24][25][26][27][28]. With the higher levels included, coupled transmons naturally realize the attractive Bose-Hubbard model [3,[29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Beyond hard-core bosons in transmon arrays

Mansikkamäki¹,

Laine²,

Atte³

et al. 2022

Preprint

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Arrays of transmons have proven to be a viable medium for quantum information science and quantum simulations. Despite their widespread popularity as qubit arrays, there remains yet untapped potential beyond the two-level approximation or, equivalently, the hard-core boson model. With the higher excited levels included, coupled transmons naturally realize the attractive Bose-Hubbard model. The dynamics of the model has been difficult to study due to unfavorable scaling of the dimensionality of the Hilbert space with the system size. In this work, we present a framework for describing the effective unitary dynamics of highly-excited states of coupled transmons based on high-order degenerate perturbation theory. This allows us to describe various collective phenomenasuch as bosons stacked onto a single site behaving as a single particle, edge-localization, and effective longer-range interactions -in a unified, compact and accurate manner. While our examples deal with one-dimensional chains of transmons for the sake of clarity, the theory can be readily applied to more general geometries.

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Qutrit Randomized Benchmarking

Cited by 77 publications

References 38 publications

Engineering high-coherence superconducting qubits

Engineering high-coherence superconducting qubits

Quantum approximate optimization algorithm for qudit systems with long-range interactions

Beyond hard-core bosons in transmon arrays

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