Quantum-Fourier-transform-based quantum arithmetic with qudits

Pavlidis, Archimedes; Floratos, E.G.

doi:10.1103/physreva.103.032417

Cited by 25 publications

(9 citation statements)

References 39 publications

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“…Qutrits, the simplest form of qudits, can provide advantages in QEC for magic state distillation 11 , 12 , compactly encoding qubits 13 , and can be used to encode logical qutrits themselves 14 – 16 . Additionally, there are several proposals utilizing qutrits to improve quantum applications such as factoring with Shor’s algorithm 17 , performing the quantum Fourier transformation 18 , providing speedups for oracle based quantum algorithms 19 , improving quantum simulation 20 , and asymptotically improving algorithms such as Grover’s search 21 , 22 . Realizing multi-qudit systems, however, is challenging due to the complexities of the larger Hilbert space.…”

Section: Introductionmentioning

confidence: 99%

High-fidelity qutrit entangling gates for superconducting circuits

et al. 2022

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Ternary quantum information processing in superconducting devices poses a promising alternative to its more popular binary counterpart through larger, more connected computational spaces and proposed advantages in quantum simulation and error correction. Although generally operated as qubits, transmons have readily addressable higher levels, making them natural candidates for operation as quantum three-level systems (qutrits). Recent works in transmon devices have realized high fidelity single qutrit operation. Nonetheless, effectively engineering a high-fidelity two-qutrit entanglement remains a central challenge for realizing qutrit processing in a transmon device. In this work, we apply the differential AC Stark shift to implement a flexible, microwave-activated, and dynamic cross-Kerr entanglement between two fixed-frequency transmon qutrits, expanding on work performed for the ZZ interaction with transmon qubits. We then use this interaction to engineer efficient, high-fidelity qutrit CZ† and CZ gates, with estimated process fidelities of 97.3(1)% and 95.2(3)% respectively, a significant step forward for operating qutrits on a multi-transmon device.

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Section: Introductionmentioning

confidence: 99%

High-fidelity qutrit entangling gates for superconducting circuits

et al. 2022

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“…This controlled phase gate is like the CNOT gate in that if the control qubit is one, then the phase gate operation 1 0 0 i is performed on the target qubit. For additional details on the quantum Fourier transform and additional circuits which operate on quantum registers containing transform domain values, the reader is encouraged to see [49] [85] [86].…”

Section: E Quantum Fourier Transformmentioning

confidence: 99%

Everything You Always Wanted to Know about Quantum Circuits

Muñoz‐Coreas¹,

Thapliyal²

2022

Wiley Encyclopedia of Electrical and Electronics Engineering

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Quantum circuits are needed to realize the performance gains offered by quantum algorithms. We introduce the design and resource cost assessment of quantum circuits. We illustrate the design process through the development of quantum circuits for arithmetic computations as well as quantum datapaths for the image rotation task. This article opens by introducing physical properties unique to quantum computation. We then turn to quantum gates, quantum circuits, and how we measure the resource costs of a given quantum circuit. Resource cost measures for both NISQ computation and fault‐tolerant quantum computation are shown. We then present quantum circuits for arithmetic operations. Architectures for addition, subtraction, multiplication, and division are shown. The operation and design of each quantum arithmetic circuit are outlined. Using the arithmetic circuits presented as examples, we show how to calculate quantum circuit resource costs for both NISQ and fault‐tolerant quantum computation. This article concludes by illustrating the design of quantum datapaths for the image rotation operation.

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“…Quantum computation protocols rely on qubits as the basic units. Available quantum hardware consists of weaklyanharmonic systems requiring active control techniques to suppress higher energy levels to maintain the two-level approximation [55]. That imposes a tradeoff between anharmonicity and long coherence times.…”

Section: Introductionmentioning

confidence: 99%