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Noise in quantum operations often negates the advantage of quantum computation. However, most classical simulations of quantum computers calculate the ideal probability amplitudes either storing full state vectors or using sophisticated…

Quantum Physics · Physics 2021-06-18 Shigeo Hakkaku , Keisuke Fujii

We digitally simulate quantum many-body dynamics in emergent curved backgrounds using 80 superconducting qubits on IBM Heron processors. By engineering spatially varying couplings in the spin-$\frac12$ XXZ chain, consistent with the…

We present a theoretical scheme to simulate quantum field theory in a discrete curved spacetime based on the Bose-Hubbard model describing a Bose-Einstein condensate trapped inside an optical lattice. Using the Bose-Hubbard Hamiltonian, we…

Quantum Physics · Physics 2017-12-04 F. Bemani , R. Roknizadeh , M. H. Naderi

The notion of f-oscillators generalizing q-oscillators is introduced. For classical and quantum cases, an interpretation of the f-oscillator is provided as corresponding to a special nonlinearity of vibration for which the frequency of…

Quantum Physics · Physics 2016-09-08 V. I. Man'ko , G. Marmo , E. C. G. Sudarshan , F. Zaccaria

Optical networks composed of interconnected waveguides are a versatile platform to simulate bosonic physical phenomena. Significant work in the non-interacting regime has demonstrated the capabilities of this platform to simulate many…

Quantum Physics · Physics 2025-05-06 Xinyuan Zheng , Mahmoud Jalali Mehrabad , Avik Dutt , Nathan Schine , Edo Waks

The linear and nonlinear pulse propagations in lifetime-broadened three-state media with spontaneously generated coherence (SGC) are investigated theoretically. Three generic systems of V-, $\Lambda$-, and $\Xi$-type level configurations…

Optics · Physics 2012-12-27 Chao Hang , Guoxiang Huang

Bose-Hubbard models are simple paradigmatic lattice models used to study dynamics and phases of quantum bosonic matter. We combine the extended Bose-Hubbard model in the hard-core regime with ring-exchange hoppings. By investigating the…

Quantum Gases · Physics 2022-06-09 Krzysztof Giergiel , Ruben Lier , Piotr Surówka , Arkadiusz Kosior

Incoherent stochastic processes added to unitary dynamics are typically deemed detrimental since they are expected to diminish quantum features such as superposition and entanglement. Instead of exhibiting energy-conserving persistent…

The one-body reduced density matrix $\gamma$ plays a fundamental role in describing and predicting quantum features of bosonic systems, such as Bose-Einstein condensation. The recently proposed reduced density matrix functional theory for…

Quantum Physics · Physics 2022-01-19 Jonathan Schmidt , Matteo Fadel , Carlos L. Benavides-Riveros

Superconducting quantum computing has the potential to revolutionize computational capabilities. However, scaling up large quantum processors is limited by the cumbersome and heat-conductive electronic cables that connect room-temperature…

Several proposals for quantum computation utilize a lattice type architecture with qubits trapped by a periodic potential. For systems undergoing many body interactions described by the Bose-Hubbard Hamiltonian, the ground state of the…

Quantum Physics · Physics 2015-06-26 Guido Pupillo , Ana Maria Rey , Gavin Brennen , Carl J. Williams , Charles W. Clark

We present a general framework for the efficient simulation of realistic fermionic systems with modern machine learning inspired representations of quantum many-body states, towards a universal tool for ab initio electronic structure. These…

Strongly Correlated Electrons · Physics 2023-05-16 Yannic Rath , George H. Booth

Quantum simulations provide means to probe challenging problems within controllable quantum systems. However, implementing or simulating deep-strong nonlinear couplings between bosonic oscillators on physical platforms remains a challenge.…

Quantum Physics · Physics 2023-12-18 Kimin Park , Petr Marek , Radim Filip

Amidst the array of quantum machine learning algorithms, the quantum kernel method has emerged as a focal point, primarily owing to its compatibility with noisy intermediate-scale quantum devices and its promise to achieve quantum…

Quantum Physics · Physics 2024-09-13 Shahram Dehdashti , Prayag Tiwari , Kareem H. El Safty , Peter Bruza , Janis Notzel

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti

We show how the decoherence that occurs in an entangling atomic spin-light interface can be simply modeled as the dynamics of a bosonic mode. Although one seeks to control the collective spin of the atomic system in the permutationally…

Quantum Physics · Physics 2024-12-05 Andrew Kolmer Forbes , Philip Daniel Blocher , Ivan H. Deutsch

We propose a conjugate application of the Bargmann representation of quantum mechanics. Applying the Maslov method to the semiclassical connection formula between the two representations, we derive a uniform semiclassical approximation for…

Quantum Physics · Physics 2009-11-11 A. D. Ribeiro , M. Novaes , M. A. M. de Aguiar

This paper builds on the idea of simulating stabiliser circuits through transformations of quadratic form expansions. This is a representation of a quantum state which specifies a formula for the expansion in the standard basis, describing…

Quantum Physics · Physics 2022-09-21 Niel de Beaudrap , Steven Herbert

The Kerr-cat qubit is a bosonic qubit in which multi-photon Schrodinger cat states are stabilized by applying a two-photon drive to an oscillator with a Kerr nonlinearity. The suppressed bit-flip rate with increasing cat size makes this…

This paper describes a novel approach to emulate a universal quantum computer with a wholly classical system, one that uses a signal of bounded duration and amplitude to represent an arbitrary quantum state. The signal may be of any…