Fermionic quantum processing with programmable neutral atom arrays

Abstract

Simulating the properties of many-body fermionic systems is an outstanding computational challenge relevant to material science, quantum chemistry, and particle physics. Although qubit-based quantum computers can potentially tackle this problem more efficiently than classical devices, encoding non-local fermionic statistics introduces an overhead in the required resources, limiting their applicability on near-term architectures. In this work, we present a fermionic quantum processor, where fermionic models are locally encoded in a fermionic register and simulated in a hardware-efficient manner using fermionic gates. We consider in particular fermionic atoms in programmable tweezer arrays and develop different protocols to implement non-local tunneling gates, guaranteeing Fermi statistics at the hardware level. We use this gate set, together with Rydberg-mediated interaction gates, to find efficient circuit decompositions for digital and variational quantum simulation algorithms, illustrated here for molecular energy estimation. Finally, we consider a combined fermion-qubit architecture, where both the motional and internal degrees of freedom of the atoms are harnessed to efficiently implement quantum phase estimation, as well as to simulate lattice gauge theory dynamics.

References in corpus (16)

• Probing many-body dynamics on a 51-atom quantum simulator
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Quantum computing with neutral atoms
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Digital quantum simulation of fermionic models with a superconducting circuit
• Quantum computing with alkaline earth atoms
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
• Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
• Ideal negative measurements in quantum walks disprove theories based on classical trajectories
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Optimal control of atom transport for quantum gates in optical lattices
• Formation of ultracold molecules by merging optical tweezers

Cited by in corpus (53)

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• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Qu8its for Quantum Simulations of Lattice Quantum Chromodynamics
• Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays
• Optical superlattice for engineering Hubbard couplings in quantum simulation
• Spin exchange-enabled quantum simulator for large-scale non-Abelian gauge theories
• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Quantum control of continuous systems via nonharmonic potential modulation
• Fermionic Simulators for Enhanced Scalability of Variational Quantum Simulation
• Hubbard physics with Rydberg atoms: using a quantum spin simulator to simulate strong fermionic correlations
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• Splitting and connecting singlets in atomic quantum circuits
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• Simulating Chemistry with Fermionic Optical Superlattices
• Universal quantum processors in spin systems via robust local pulse sequences
• Plane-selective manipulations of nuclear spin qubits in a three-dimensional optical tweezer array
• Mantra: Rewriting Quantum Programs to Minimize Trap-Movements for Zoned Rydberg Atom Arrays
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• A Simple and Efficient Joint Measurement Strategy for Estimating Fermionic Observables and Hamiltonians
• Fermionic quantum computation with Cooper pair splitters
• Probing the interaction energy of two ${}^{85}$Rb atoms in an optical tweezer via spin-motion coupling
• Time-tronics: from temporal printed circuit board to quantum computer
• Shannon entropy in quasiparticle states of quantum chains
• Effective light-induced Hamiltonian for atoms with large nuclear spin
• Determining the ${}^3$P${}_0$ excited-state tune-out wavelength of ${}^{174}$Yb in a triple-magic lattice
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Wegner's Ising gauge spins versus Kitaev's Majorana partons: Mapping and application to anisotropic confinement in spin-orbital liquids
• Protected quantum gates using qubit doublons in dynamical optical lattices
• Super-resolution optical trapping of multiple cold atoms
• Shaping Magnetic Order by Local Frustration for Itinerant Fermions on a Graph
• Symmetry and Topology of Monitored Quantum Dynamics
• Three-qubit encoding in ytterbium-171 atoms for simulating 1+1D QCD
• Characterizing maximally many-body entangled fermionic states by using $M$-body density matrix
• Quantum science with arrays of metastable helium-3 atoms
• Ultracold atomic lattice systems for simulating topological phases: A review
• Bounded-Error Quantum Simulation via Hamiltonian and Lindbladian Learning
• Fast collisional $\sqrt{\mathrm{SWAP}}$ gate for fermionic atoms in an optical superlattice
• Programmable Assembly of Ground State Fermionic Tweezer Arrays
• Turquoise Magic Wavelength of the ${}^{87}$Sr Clock Transition
• Hong-Ou-Mandel interference on a lattice: symmetries and interactions
• Ultracold high-spin $\Sigma$-state polar molecules for new physics searches
• High-resolution spectroscopy of 162Dy Rydberg levels