Two-Qutrit Quantum Algorithms on a Programmable Superconducting Processor

Roy, Tanay; Li, Ziqian; Kapit, Eliot; Schuster, D. I.

doi:10.1103/physrevapplied.19.064024

Cited by 17 publications

(6 citation statements)

References 51 publications

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“…Several theoretical studies have highlighted the advantages of directly encoding HEP problems into qudits, requiring fewer operations [33][34][35][36] and potentially better noise tolerance [37,38]. While one could argue for using transmons as qudits [39][40][41], there are two major issues. First, a transmon has only a few bounded energy eigenstates, and charge noise grows exponentially with Fock number, severely impacting dephasing time [23].…”

Section: Advantages Of Srf Cavitiesmentioning

confidence: 99%

Qudit-based quantum computing with SRF cavities at Fermilab

Roy,

Kim,

Romanenko

et al. 2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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Superconducting radio frequency (SRF) cavities provide an excellent platform for storing quantum information as quantum 𝑑-level systems (qudits) due to their exceptionally long lifetimes and large accessible Hilbert spaces. A common strategy to manipulate the states is to use a nonlinear element like a transmon. There are, however, several challenges to building a 3D SRF architecture while maintaining a long cavity lifetime. We demonstrate our successful integration of transmons with single-cell Nb SRF cavities and the ability to prepare several non-classical states. Finally, we discuss our strategies to improve the coherence times, gate schemes, and extend the system for building a multi-qudit quantum processor.

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Section: Advantages Of Srf Cavitiesmentioning

confidence: 99%

Qudit-based quantum computing with SRF cavities at Fermilab

Roy,

Kim,

Romanenko

et al. 2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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“…In recent years, there is a growing field of research in utilizing high-dimensional quantum systems for quantum information processing [1][2][3][4][5]. Among them, the three-level system has become a representative and popular candidate for encoding qubit [6][7][8][9][10][11][12][13][14], since temporarily using a third state [15][16][17] can reduce the number of physical entities [18] and improve the fidelity of quantum computations [19][20][21][22][23]. This system allows quantum information to be encoded into two low-energy levels, with the transition being indirectly realized through a high-energy one.…”

Section: Introductionmentioning

confidence: 99%

“…Figure 2. (a) Fidelity F and (b) infidelity 1 − F of the Hadamard gate vs the pulse area error ϵ.The optimal modulation parameters in table 1 are determined after independently solving equation(17) with different initial values for 500 times.…”

mentioning

confidence: 99%

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

Zhang,

Liu,

Song

et al. 2024

New J. Phys.

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We propose a robust and high-fidelity scheme for realizing universal quantum gates by optimizing short pulse sequences in a three-level system. To alleviate the sensitivity to the errors, we recombine all elements of error matrices to construct a cost function with three types of weight factors. The modulation parameters are obtained by searching for the minimum value of this cost function. The purposes of introducing the weight factors are to reduce the detrimental impact of high-order error matrices, suppress population leakage to the third state, correct the operational error in the qubit space, and optimize the total pulse area of short pulse sequences. The results demonstrate that the optimized sequences exhibit strong robustness against errors and effectively reduce the total pulse area. Therefore, this work presents a valuable method for achieving exceptional robustness and high speed in quantum computations.

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“…There has been growing interest in using d-level systems called qudits for quantum computation, see e.g. [19][20][21][22][23][24] and references therein. Completely symmetric multi-qudit states, which we call qudit Dicke states (also known as generalized Dicke states, or symmetric basis states), have also been studied for many years, see e.g [25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

q-analog qudit Dicke states

Raveh,

Nepomechie

2024

J. Phys. A: Math. Theor.

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Dicke states are completely symmetric states of multiple qubits (2-level systems), and qudit Dicke states are their d-level generalization. We define here q-deformed qudit Dicke states using the quantum algebra suq(d). We show that these states can be compactly expressed as a weighted sum over permutations with q-factors involving the so-called inversion number, an important permutation statistic in Combinatorics. We use this result to compute the bipartite entanglement entropy of these states. We also discuss the preparation of these states on a quantum computer, and show that introducing a q-dependence does not change the circuit gate count.

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Two-Qutrit Quantum Algorithms on a Programmable Superconducting Processor

Cited by 17 publications

References 51 publications

Qudit-based quantum computing with SRF cavities at Fermilab

Qudit-based quantum computing with SRF cavities at Fermilab

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

q-analog qudit Dicke states

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