Collective neutrino oscillations on a quantum computer

Yeter-Aydeniz, Kübra; Bangar, Shikha; Siopsis, George; Pooser, Raphael C.

doi:10.1007/s11128-021-03348-x

Cited by 35 publications

(15 citation statements)

References 29 publications

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“…The circuit implementation of the PREPARE oracle reduces to preparing a uniform superposition state in binary, as per (58), and then converting the encoding to a unary one. The overall circuit with the general pattern is depicted in Figure 5 with k = log(8(N − 1)) ancilla control qubits.…”

Section: Figure 4: Select Circuit For the H H Term In Schwinger Modelmentioning

confidence: 99%

“…[51,52] for reviews). Due to the presence of interactions, many-body effects and quantum correlations could be important in understanding these phenomena and a number of studies is underway with a variety of techniques: from exact diagonalization [53] to Bethe-ansatz solutions [54], from tensor networks [55,56] to digital quantum simulations [57,58]. Quantum computing might offer a promising route to study these phenomena in situations where the entanglement entropy grows too fast with system size for tensor network simulations to remain feasible.…”

Section: Collective Neutrino Oscillationsmentioning

confidence: 99%

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Hybridized Methods for Quantum Simulation in the Interaction Picture

Rajput

Roggero

Wiebe

2022

Quantum

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Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal. In particular, the interaction picture simulation has been found to provide substantial asymptotic advantages for some Hamiltonians, but incurs prohibitive constant factors and is incompatible with methods like qubitization. We provide a framework that allows different simulation methods to be hybridized and thereby improve performance for interaction picture simulations over known algorithms. These approaches show asymptotic improvements over the individual methods that comprise them and further make interaction picture simulation methods practical in the near term. Physical applications of these hybridized methods yield a gate complexity scaling as log2⁡Λ in the electric cutoff Λ for the Schwinger Model and independent of the electron density for collective neutrino oscillations, outperforming the scaling for all current algorithms with these parameters. For the general problem of Hamiltonian simulation subject to dynamical constraints, these methods yield a query complexity independent of the penalty parameter λ used to impose an energy cost on time-evolution into an unphysical subspace.

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Section: Figure 4: Select Circuit For the H H Term In Schwinger Modelmentioning

confidence: 99%

Section: Collective Neutrino Oscillationsmentioning

confidence: 99%

Hybridized Methods for Quantum Simulation in the Interaction Picture

Rajput

Roggero

Wiebe

2022

Quantum

View full text Add to dashboard Cite

show abstract

“…[47,48] for reviews). Due to the presence of interactions, many-body effects and quantum correlations could be important in understanding these phenomena and a number of studies is underway with a variety of techniques: from exact diagonalization [49] to Bethe-ansatz solutions [50], from tensor networks [51,52] to digital quantum simulations [53,54]. Quantum computing might offer a promising route to study these phenomena in situations where the entanglement entropy grows too fast with system size for tensor network simulations to remain feasible.…”

Section: Collective Neutrino Oscillationsmentioning

confidence: 99%

Hybridized Methods for Quantum Simulation in the Interaction Picture

Rajput¹,

Roggero²,

Wiebe³

2021

Preprint

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Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal. In particular, the interaction picture simulation has been found to provide substantial asymptotic advantages for some Hamiltonians but incurs prohibitive constant factors and is incompatible with methods like qubitization. We provide a framework that allows different simulation methods to be hybridized and thereby improve performance for interaction picture simulations over known algorithms. These approaches show asymptotic improvements over the individual methods that comprise them and further make interaction picture simulation methods practical in the near term. Physical applications of these hybridized methods yield a gate complexity scaling as log 2 Λ in the electric cutoff Λ for the Schwinger Model and independent of the electron density for collective neutrino oscillations, outperforming the scaling for all current algorithms with these parameters. For the general problem of Hamiltonian simulation subject to dynamical constraints, these methods yield a query complexity independent of the penalty parameter λ used to impose an energy cost on time-evolution into an unphysical subspace.

show abstract

“…Recently this problem was addressed using Bethe ansatz techniques [16][17][18] and the tensor network approach [13,19]. Using quantum computers is also being explored [20][21][22][23]. These many-body techniques apply feasibly for small numbers of neutrinos or neutrino beams, or for time-independent or slowly evolving Hamiltonians.…”

mentioning

confidence: 99%

Role of non-gaussian quantum fluctuations in neutrino entanglement

Patwardhan

2022

Preprint

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The flavor evolution of neutrinos in environments with large neutrino number densities is an open problem at the nexus of astrophysics and neutrino flavor physics. Among the many unanswered questions pertaining to this problem, it remains to be determined whether neutrino-neutrino coherent scattering can give rise to nontrivial quantum entanglement among neutrinos, and whether this can affect the flavor evolution in a meaningful way. To gain further insight into this question, here we study a simple system of two interacting neutrino beams, and obtain the exact phase-space explored by this system using the Husimi quasi-probability distribution. We observe that the entanglement induced by the coupling leads to strong delocalization in phase-space with largely non-Gaussian quantum fluctuations. The link between the neutrino entanglement and quantum fluctuations is illustrated using the one-and two-neutrino entropy. In addition, we propose an approximate phasespace method to describe the interacting neutrinos problem, where the exact evolution is replaced by a set of independent mean-field evolutions with a statistical sampling of the initial conditions. The phase-space approach provides a simple and accurate method to describe the gross features of the neutrino entanglement problem. Applications are shown using time-independent and timedependent Hamiltonians in the non-adiabatic regime.

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Collective neutrino oscillations on a quantum computer

Cited by 35 publications

References 29 publications

Hybridized Methods for Quantum Simulation in the Interaction Picture

Hybridized Methods for Quantum Simulation in the Interaction Picture

Hybridized Methods for Quantum Simulation in the Interaction Picture

Role of non-gaussian quantum fluctuations in neutrino entanglement

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