Matrix product states allow amplitude encoding of Slater-type orbitals with constant bond dimension in one dimension and saturating entanglement in three dimensions, supporting low-error integral evaluation on quantum processors.
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Qiskit: An Open-source Framework for Quantum Computing
Canonical reference. 80% of citing Pith papers cite this work as background.
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A new method for unitary synthesis on quantum hardware cuts CNOT gates by up to 36% and compiles up to 553 times faster than standard tools on square and heavy-hex lattices.
QRisk isolates backend-specific abnormal error patterns on NISQ devices via delta debugging and mitigates them with commuting gate swaps, cutting excess noise by 24-45% on IBM backends where noise models predict no difference.
Coq framework with discrete lenses for typed, compositional definition and verification of quantum circuits.
A co-design method for frequency allocation and noise-aware transpilation in tunable-coupler quantum systems yields 8.9% lower log-infidelity cost and 6.8% shorter circuits than SABRE on SNAIL architectures.
QuantumXCT learns parameterized quantum circuits to model interaction-induced unitary transformations between non-interacting and interacting cellular state distributions from transcriptomic profiles.
A hybrid quantum-classical method computes accurate Green's functions for the pairing model across the normal-to-superfluid transition by combining variational ground-state preparation with quantum subspace expansion for neighboring particle numbers.
Experimental demonstration of logical |H_L> and |T_L> magic states with fidelities 0.8806 and 0.8665 on IBM superconducting hardware using a qubit-efficient surface code embedding, with reported error thresholds above prior values.
A quantum Monte Carlo algorithm solves multidimensional Black-Scholes PDEs for option pricing with polynomial complexity in dimension d and accuracy 1/ε, with rigorous error bounds and a claimed speedup over classical Monte Carlo for bounded payoffs.
OBDF-SQD uses classical OBMP2 downfolding to create an effective active-space Hamiltonian with unchanged operator structure, then applies SQD to improve accuracy over standard CAS-SQD on H6 and N2 dissociation curves without extra quantum circuit cost.
A survey of nine QHPC stacks identifies common patterns and proposes the openQSE reference architecture to unify interfaces for interoperability in quantum-HPC environments.
New merge booster and diagonal detector components, combined with cache blocking and gate fusion, deliver up to 160x speedup on circuit benchmarks and 34x on diagonal-heavy gates versus prior simulators.
A synthesis of quantum methods in finance finds that carefully designed hybrid systems offer the strongest practical advantages in optimization, pricing, risk, ML, and cryptography.
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Typed compositional quantum computation with lenses
Coq framework with discrete lenses for typed, compositional definition and verification of quantum circuits.