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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representative citing papers
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.
The authors define the QA-KS(φ) gate family embedding Toffoli with Hadamard sandwich and CP kickback, provide its exact 8x8 unitary, and demonstrate orthogonality to CCX on q0=1 inputs while agreeing on q0=0.
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.
An architecture-aware unitary-synthesis transpiler is claimed to cut CNOT counts by 6-36% and run 39-940x faster than Qiskit/TKET/Pennylane on IQM Garnet and IBM Marrakesh circuits with 3-11 qubits.
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.
KPCA reduces QAOA parameters for Max-Cut on graphs, outperforming PCA at depths 4 and 8 while cutting circuit evaluations by over 93%.
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.
Operator elimination in ADAPT-VQE plus OBDF downfolding reduces iteration count and circuit depth while moving energies closer to FCI on H6 variants and N2 within fixed active spaces.
A survey of nine QHPC stacks identifies common design patterns and proposes the openQSE reference architecture to unify interfaces across runtime, resource management, and orchestration layers.
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.
citing papers explorer
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Amplitude Encoding of Slater-Type Orbitals via Matrix Product States: Efficient State Preparation and Integral Evaluation on Quantum Hardware
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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Isolating Recurring Execution-Dependent Abnormal Patterns on NISQ Quantum Devices
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.
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Typed compositional quantum computation with lenses
Coq framework with discrete lenses for typed, compositional definition and verification of quantum circuits.
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Quantum-Adaptive KS($\varphi$): A Parameterized Three-Qubit Gate Family Embedding Toffoli with Measurement-Free Phase Kickback and Intrinsic Error Non-Amplification
The authors define the QA-KS(φ) gate family embedding Toffoli with Hadamard sandwich and CP kickback, provide its exact 8x8 unitary, and demonstrate orthogonality to CCX on q0=1 inputs while agreeing on q0=0.
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Fidelity-Aware Frequency Allocation and Transpilation Co-Design for Tunable Coupler Quantum Systems
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.
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Architecture-aware Unitary Synthesis
An architecture-aware unitary-synthesis transpiler is claimed to cut CNOT counts by 6-36% and run 39-940x faster than Qiskit/TKET/Pennylane on IQM Garnet and IBM Marrakesh circuits with 3-11 qubits.
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QuantumXCT: Learning Interaction-Induced State Transformation in Cell-Cell Communication via Quantum Entanglement and Generative Modeling
QuantumXCT learns parameterized quantum circuits to model interaction-induced unitary transformations between non-interacting and interacting cellular state distributions from transcriptomic profiles.
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Quantum simulations of Green's functions for small superfluid systems
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.
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Magic State Injection on IBM Quantum Processors Above the Distillation Threshold
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.
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Quantum Monte Carlo algorithm for option pricing and its complexity analysis
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.
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Dimensionality Reduction of QAOA Parameter Space with Kernel PCA for Max-Cut
KPCA reduces QAOA parameters for Max-Cut on graphs, outperforming PCA at depths 4 and 8 while cutting circuit evaluations by over 93%.
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Quantum resource reduction for quantum-centric supercomputing via correlated mean-field downfolding framework
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.
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Reducing quantum resources for ADAPT-VQE via plateau-operator elimination and correlated mean-field downfolding
Operator elimination in ADAPT-VQE plus OBDF downfolding reduces iteration count and circuit depth while moving energies closer to FCI on H6 variants and N2 within fixed active spaces.
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Quantum-HPC Software Stacks and the openQSE Reference Architecture: A Survey
A survey of nine QHPC stacks identifies common design patterns and proposes the openQSE reference architecture to unify interfaces across runtime, resource management, and orchestration layers.
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Large-Scale Quantum Circuit Simulation on HPC Cluster via Cache Blocking, Boosting, and Gate Fusion Optimization
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.
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Quantum Computing for Financial Transformation: A Review of Optimisation, Pricing, Risk, Machine Learning, and Post-Quantum Security
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.