Controlled beam splitter gate transparent to dominant ancilla errors

Pietikäinen, I.; Černotík, Ondřej; Puri, Shruti; Filip, Radim; Girvin, S. M.

doi:10.1088/2058-9565/ac760a

Cited by 5 publications

(3 citation statements)

References 84 publications

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“…This gate naturally pertains to certain lattice gauge theories and gives rise to exponential SWAP (eSWAP) [30] and controlled-SWAP (cSWAP) gates for state purification and SWAP tests, when paired with an uncontrolled beam splitter [31]. The argument in phase-space representation is…”

Section: Hong-ou-mandel Effect/conditional (Controlled-phase) Beam Sp...mentioning

confidence: 99%

Leveraging Hamiltonian Simulation Techniques to Compile Operations on Bosonic Devices

Kang¹,

Soley²,

Crane³

et al. 2023

Preprint

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Circuit QED enables the combined use of qubits and oscillator modes. Despite a variety of available gate sets, many hybrid qubit-boson (i.e., oscillator) operations are realizable only through optimal control theory (OCT) which is oftentimes intractable and uninterpretable. We introduce an analytic approach with rigorously proven error bounds for realizing specific classes of operations via two matrix product formulas commonly used in Hamiltonian simulation, the Lie-Trotter and Baker-Campbell-Hausdorff product formulas. We show how this technique can be used to realize a number of operations of interest, including polynomials of annihilation and creation operators, i.e., a p a † q for integer p, q. We show examples of this paradigm including: obtaining universal control within a subspace of the entire Fock space of an oscillator, state preparation of a fixed photon number in the cavity, simulation of the Jaynes-Cummings Hamiltonian, simulation of the Hong-Ou-Mandel effect and more. This work demonstrates how techniques from Hamiltonian simulation can be applied to better control hybrid boson-qubit devices.

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Section: Hong-ou-mandel Effect/conditional (Controlled-phase) Beam Sp...mentioning

confidence: 99%

Leveraging Hamiltonian Simulation Techniques to Compile Operations on Bosonic Devices

Kang¹,

Soley²,

Crane³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…A proposal for implementing the ancilla-full CV SWAP test using a fault-tolerant ancilla prepared in a Kerr cat logical qubit appears in Ref. [26].…”

Section: Ancilla-free Destructive Continuous Variable (Cv) Swap Testmentioning

confidence: 99%

Ancilla-free continuous-variable SWAP test

Volkoff

Subaşı

2022

Quantum

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We propose a continuous-variable (CV) SWAP test that requires no ancilla register, thereby generalizing the ancilla-free SWAP test for qubits. In this ancilla-free CV SWAP test, the computational basis measurement is replaced by photon number-resolving measurement, and we calculate an upper bound on the error of the overlap estimate obtained from a finite Fock cutoff in the detector. As an example, we show that estimation of the overlap of pure, centered, single-mode Gaussian states of energy E and squeezed in opposite quadratures can be obtained to error ϵ using photon statistics below a Fock basis cutoff O(Eln⁡ϵ−1). This cutoff is greatly reduced to E+O(Eln⁡ϵ−1) when the states have rapidly decaying Fock tails, such as coherent states. We show how the ancilla-free CV SWAP test can be extended to many modes and applied to quantum algorithms such as variational compiling and entanglement spectroscopy in the CV setting. For the latter we also provide a new algorithm which does not have an analog in qubit systems. The ancilla-free CV SWAP test is implemented on Xanadu's 8-mode photonic processor in order to estimate the vacuum probability of a two-mode squeezed state.

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“…[23] The utilization of microwave fields and photons for quantum state engineering and quantum information processing has garnered considerable recent interest. [24][25][26][27][28][29][30][31][32] As depicted in Fig. 1, the function of the QVM is to determine the total number of voters in favor of the event being voted upon at the conclusion of the voting process.…”

mentioning

confidence: 99%

Quantum Voting Machine Encoded with Microwave Photons

Zhang 张,

Yang 杨,

Su 苏

et al. 2024

Chinese Phys. Lett.

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We propose a simple quantum voting machine using microwave photon qubit encoding, based on a setup comprising multiple microwave cavities and a coupled superconducting flux qutrit. This approach primarily relies on a multi-control single-target quantum phase gate. The scheme offers operational simplicity, requiring only a single step, while ensuring verifiability through the measurement of a single qubit phase information to obtain the voting results. It provides voter anonymity, as the voting outcome is solely tied to the total number of affirmative votes. Our quantum voting machine also has scalability in terms of the number of voters. Additionally, the physical realization of the quantum voting machine is general and not limited to circuit quantum electrodynamics. Quantum voting machine can be implemented as long as the multi-control single-phase quantum phase gate is realized in other physical systems. Numerical simulations indicate the feasibility of this quantum voting machine within the current quantum technology.

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Controlled beam splitter gate transparent to dominant ancilla errors

Cited by 5 publications

References 84 publications

Leveraging Hamiltonian Simulation Techniques to Compile Operations on Bosonic Devices

Leveraging Hamiltonian Simulation Techniques to Compile Operations on Bosonic Devices

Ancilla-free continuous-variable SWAP test

Quantum Voting Machine Encoded with Microwave Photons

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