Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor | Paper Citation Record

Observation fcd936a1-a94f-444e-8f8d-54c3dd37b5a2 · outbound

This paper cites Withh= 1/N h and using sinθ k ≥0 for 0≤k < N h, |λk|= 2N h sinθ k, θ k = πk Nh .(29) Thus each block in Eq.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Withh= 1/N h and using sinθ k ≥0 for 0≤k < N h, |λk|= 2N h sinθ k, θ k = πk Nh .(29) Thus each block in Eq

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This paper cites , nh −1}and anyϕ∈R, CR (r) Z (ϕ) = Nh−1X k=0 |k⟩⟨k| ⊗Rz(ϕkr),(39) wherek r ∈ {0,1}is ther-th bit in the binary expansionk= Pnh−1 r=0 kr2r, withN h = 2nh.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor , nh −1}and anyϕ∈R, CR (r) Z (ϕ) = Nh−1X k=0 |k⟩⟨k| ⊗Rz(ϕkr),(39) wherek r ∈ {0,1}is ther-th bit in the binary expansionk= Pnh−1 r=0 kr2r, withN h = 2nh

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Observation 2ee05ddd-2fc8-4763-94c9-e644ba496b66 · outbound

This paper cites (24) to the Fourier domain, we apply the two-dimensional QFT acting on the two spatial registers.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor (24) to the Fourier domain, we apply the two-dimensional QFT acting on the two spatial registers

Reference 4

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Observation cdddfa54-318f-4c08-82e4-e4321e3c1d01 · outbound

This paper cites Each of the Hamiltonians is acting in one direction, for which the circuit implemented has been outlined in Section V A.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Each of the Hamiltonians is acting in one direction, for which the circuit implemented has been outlined in Section V A

Reference 5

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Observation 1dd08446-491f-4f60-8a46-47115470bb37 · outbound

This paper cites A more efficient construction follows by first identifying the velocity superposition that actually couples to pressure.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor A more efficient construction follows by first identifying the velocity superposition that actually couples to pressure

Reference 6

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Observation 473bbb2d-3195-4786-b2c6-bc1a2f69982e · outbound

This paper cites In the hardware implementation reported here, we do not evaluate the square root or atan2 coherently.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor In the hardware implementation reported here, we do not evaluate the square root or atan2 coherently

Reference 7

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Observation d5e7cf7b-f9fc-4af8-af30-38bcf4d50580 · outbound

This paper cites 14 and 15.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor 14 and 15

Reference 8

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Observation e4e94682-d6e2-4c58-a03f-e8e7f4c4be25 · outbound

This paper cites Because the full measurement count distribution is available, the kinetic energy can be computed on any subdomain in post-processing; we report the half-domainX= (0, 1 2 ), i.e.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Because the full measurement count distribution is available, the kinetic energy can be computed on any subdomain in post-processing; we report the half-domainX= (0, 1 2 ), i.e

Reference 10

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Observation c9c2a5d6-6a7b-421a-915e-bf026602a88f · outbound

This paper cites The detailed circuit construction is described in Section B 2.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor The detailed circuit construction is described in Section B 2

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Observation 77dde21d-da0a-462b-a5e5-e68c1544185b · outbound

This paper cites In the field encoding of Eq.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor In the field encoding of Eq

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Observation 5995884e-e95f-4267-bbbc-77094e8bda60 · outbound

This paper cites (122) with m− = 0,m + = 2, and, following the same protocol as Section VI A 1.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor (122) with m− = 0,m + = 2, and, following the same protocol as Section VI A 1

Reference 14

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Observation 25aaad1d-6281-4eff-bf52-0e29c4733c70 · outbound

This paper cites (123), since the Dirac-dynamics circuit retains the one-dimensional construction’s velocity–flux field encoding with the mass term added only through the TrotterizedH mass sub-step.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor (123), since the Dirac-dynamics circuit retains the one-dimensional construction’s velocity–flux field encoding with the mass term added only through the TrotterizedH mass sub-step

Reference 15

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Observation 0399c4cf-af57-4bab-b899-889d84fa3764 · outbound

This paper cites It therefore suffices to prepare|ψ p⟩in the spatial register.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor It therefore suffices to prepare|ψ p⟩in the spatial register

Reference 16

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Observation 007be151-4861-4699-ad07-0f2b99dd978e · outbound

This paper cites This case is small enough that the nonlinear angles can be synthesized by Boolean expansions in the retained-mode bits, avoiding a general arithmetic circuit.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor This case is small enough that the nonlinear angles can be synthesized by Boolean expansions in the retained-mode bits, avoiding a general arithmetic circuit

Reference 17

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Observation 6c602eb3-d257-4f35-8d0b-90670ef64c52 · outbound

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Observation cf418d0c-ed38-496b-afe0-e3e3ccd2e977 · outbound

This paper cites Lloyd, Science273, 1073 (1996).

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Lloyd, Science273, 1073 (1996)

Reference 20

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Observation 3cd3aac8-c2c7-4e94-906b-686c4dafd4a1 · outbound

This paper cites High-order quantum algorithm for solving linear differential equations.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor High-order quantum algorithm for solving linear differential equations

Reference 21

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Observation b90a54a2-18be-4803-9805-3b78e9e8c42a · outbound

This paper cites Quantum algorithm for solving linear systems of equations.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum algorithm for solving linear systems of equations

Reference 22

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Observation c62c02fc-0c3e-42d9-a9ab-c61c26959253 · outbound

This paper cites Quantum Computing in the NISQ era and beyond.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum Computing in the NISQ era and beyond

Reference 23

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Observation e3ede537-212e-48ba-8749-dea8e5ca80b1 · outbound

This paper cites Marxer, J.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Marxer, J

Reference 25

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Observation f4abcb51-4231-483b-8c10-baaf2c66cea6 · outbound

This paper cites Wen and Y.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Wen and Y

Reference 26

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Observation 478ed1a4-6c28-402f-9763-bb8e089c45f5 · outbound

This paper cites Babbush, N.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Babbush, N

Reference 27

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Observation 566f312e-0785-4517-b49b-e05b9eb15405 · outbound

This paper cites Noisy intermediate-scale quantum simulation of the one-dimensional wave equation.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Noisy intermediate-scale quantum simulation of the one-dimensional wave equation

Reference 28

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Observation a02ef494-d86b-4357-bc1d-16e3a01fcfff · outbound

This paper cites Lubasch, Y.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Lubasch, Y

Reference 29

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Reference 30

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Observation d5a0fd1f-d449-483e-8f43-1de7ea2c15de · outbound

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum Algorithm for Simulating the Wave Equation

Reference 32

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This paper cites Practical Quantum Computing: solving the wave equation using a quantum approach.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Practical Quantum Computing: solving the wave equation using a quantum approach

Reference 33

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Observation f76278c2-8586-4906-b3c7-57588c1dafe2 · outbound

This paper cites High-precision quantum algorithms for partial differential equations.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor High-precision quantum algorithms for partial differential equations

Reference 34

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits

Reference 35

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Observation aa2c59a3-e4c1-4fbf-a330-ac27b9d07aeb · outbound

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor High order schemes for solving partial differential equations on a quantum computer

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This paper cites A quantum computing concept for 1-D elastic wave simulation with exponential speedup.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor A quantum computing concept for 1-D elastic wave simulation with exponential speedup

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This paper cites Quantum Algorithms for Solving Ordinary Differential Equations via Classical Integration Methods.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum Algorithms for Solving Ordinary Differential Equations via Classical Integration Methods

Reference 38

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Schillo and A

Reference 39

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum simulation of the Dirac equation

Reference 40

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum simulation of the Klein paradox with trapped ions

Reference 41

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This paper cites Quantum Simulation of Klein Gordon Equation and Observation of Klein Paradox in IBM Quantum Computer.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum Simulation of Klein Gordon Equation and Observation of Klein Paradox in IBM Quantum Computer

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Larsson and V

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Reference 46

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Observation 38996f24-077b-4c74-aa05-b26e48ca6250 · outbound

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Quantum computing with Qiskit

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor t$|$ket$\rangle$ : A Retargetable Compiler for NISQ Devices

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Observation 659958f8-2317-4c8a-b37b-67ea948ab2c9 · outbound

This paper cites Fleischhauer, A.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Fleischhauer, A

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Observation 38a33233-0710-4520-897b-e2e4cc1e2f59 · outbound

This paper cites Temme, S.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Temme, S

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Ezzell, B

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Improving Dynamical Decoupling for Trapped-Ion QCCD Quantum Computers

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor Unresolved cited work

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This paper cites These results confirm that QFT allows the wave dynamics can be simulated at almost constant depth, due to the fast-forwarding by QFT.

Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor These results confirm that QFT allows the wave dynamics can be simulated at almost constant depth, due to the fast-forwarding by QFT

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