Permanents, hafnians, and loop-hafnians are unified in a single Ising spin model whose dynamics are simulatable on a quantum circuit with O(N²) gates.
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Helios achieves 98 qubits with single-qubit gate infidelity 2.5(1)×10^{-5}, two-qubit 7.9(2)×10^{-4}, and SPAM 4.8(6)×10^{-4}, enabling circuits beyond classical simulation.
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
Distributions of noisy expectation values over sets of measurement operators on random mixed states are derived combinatorially and approximated by fitted effective global-depolarizing models that match peaks in brickwork circuit simulations but deviate in tails.
Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.
citing papers explorer
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Quantum Circuit Representation of Combinatorial Matrix Functions
Permanents, hafnians, and loop-hafnians are unified in a single Ising spin model whose dynamics are simulatable on a quantum circuit with O(N²) gates.
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Helios: A 98-qubit trapped-ion quantum computer
Helios achieves 98 qubits with single-qubit gate infidelity 2.5(1)×10^{-5}, two-qubit 7.9(2)×10^{-4}, and SPAM 4.8(6)×10^{-4}, enabling circuits beyond classical simulation.
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Coherence dynamics in quantum many-body systems with conservation laws
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
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Distributions of Noisy Expectation Values over Sets of Measurement Operators
Distributions of noisy expectation values over sets of measurement operators on random mixed states are derived combinatorially and approximated by fitted effective global-depolarizing models that match peaks in brickwork circuit simulations but deviate in tails.
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Random-State Generation and Preparation Complexity in Rydberg Atom Arrays
Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.