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Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
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abstract
A framework for quantum simulations of real-time weak decays of hadrons and nuclei in a 2-flavor lattice theory in one spatial dimension is presented. A single generation of the Standard Model is found to require 16 qubits per spatial lattice site after mapping to spin operators via the Jordan-Wigner transformation. Both quantum chromodynamics and flavor-changing weak interactions are included in the dynamics, the latter through four-Fermi effective operators. Quantum circuits which implement time evolution in this lattice theory are developed and run on Quantinuum's H1-1 20-qubit trapped ion system to simulate the $\beta$-decay of a single baryon on one lattice site. These simulations include the initial state preparation and are performed for both one and two Trotter time steps. The potential intrinsic error-correction properties of this type of lattice theory are discussed and the leading lattice Hamiltonian required to simulate $0\nu\beta\beta$-decay of nuclei induced by a neutrino Majorana mass term is provided.
Forward citations
Cited by 7 Pith papers
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Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories
Gauss's law constraints in jmax=1/2 SU(2) lattice gauge theory are converted into stabilizer codes that correct single-qubit errors using about 9N or 12N physical qubits per N plaquettes.
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Probing Hadron Scattering in Lattice Gauge Theories on Qudit Quantum Computers
Proposed qudit circuits simulate meson-antimeson scattering in a spin-1 U(1) lattice gauge theory and remain accurate under realistic dephasing and depolarization noise.
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Efficient Qudit Circuit for Quench Dynamics of $2+1$D Quantum Link Electrodynamics
A matter-integrated-out reformulation of 2+1D U(1) quantum link electrodynamics is translated into explicit qudit circuits, with Trotterized simulations matching exact dynamics on small lattices.
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String Breaking Dynamics and Glueball Formation in a $2+1$D Lattice Gauge Theory
In a 2+1D Z2 lattice gauge theory, string breaking happens only at specific resonances set by field strength and matter mass, while long strings can dynamically form closed electric loops analogous to glueballs.
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Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice
The Kogut-Susskind Hamiltonian is recovered from the orbifold lattice Hamiltonian in the infinite scalar mass limit, with numerical confirmation for SU(2) and SU(3) Yang-Mills theory in 2+1 dimensions.
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Observation of hadron scattering in a lattice gauge theory on a quantum computer
The authors observe elastic and confined scattering, plus mass-quench-induced inelastic dynamics, in a 1+1D U(1) lattice gauge theory on IBM quantum hardware.
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Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors
A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.
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