Sdim is the first open-source qudit stabilizer simulator supporting all dimensions, enabling circuit evaluation and sampling for qudit fault-tolerant quantum computing research.
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Qudits and High-Dimensional Quantum Computing
12 Pith papers cite this work, alongside 481 external citations. Polarity classification is still indexing.
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The paper characterizes families of d-dimensional unitaries and qubit Pauli channels that admit masking through bipartite broadcasting channels, with an iff condition that a qubit channel masks against the identity precisely when it is unital and possesses a pure-state fixed point.
Derives an analytical mapping from hybrid unitary-projective qutrit evolution to target non-Hermitian two-body interactions for pseudo-spins in a Zeno subspace, validated numerically.
Presents IRD-GrAPE optimal control to generate GHZ, Dicke, and extremal states in dipolar Rydberg arrays by truncating the Hilbert space to capture leakage with linear scaling.
Qudit encodings for EV trip assignments cut the Hilbert space dimension exponentially and match or exceed qubit-based QAOA performance on constrained uni- and bi-directional charging problems.
An all-optical method identifies magic polarization angles for selective Raman control of 6-level hyperfine qudits in 173Yb, providing universal single-qudit gates and Rydberg-based two-qudit operations.
Quantum capacity of 4D MAD channels is analyzed with a technique valid outside degradable regimes, and the complete degradability region is characterized for general d-dimensional MAD channels.
Sparse phase ansatzes for the SNAP-displacement protocol achieve favorable fidelity versus resource trade-offs for qudit state preparation up to dimension 64 in both ideal and noisy regimes.
QGANs with quantum generators and classical discriminators generate financial time series matching target distributions and desired temporal correlations, with quality varying by circuit depth, bond dimension, and simulation method.
In a star network of qubits with XYZ Heisenberg interactions, localizable bipartite peripheral entanglement grows logarithmically with periphery size at zero xy-anisotropy and survives noisy measurements in the large-periphery limit.
The paper reviews QUDO, T-QUDO and HOBO formulations, provides explicit encodings between them, discusses limitations, and gives examples for knapsack, TSP and games including N-Queens and Peg Solitaire.
citing papers explorer
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Sdim: A Qudit Stabilizer Simulator
Sdim is the first open-source qudit stabilizer simulator supporting all dimensions, enabling circuit evaluation and sampling for qudit fault-tolerant quantum computing research.
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Quantum Channel Masking
The paper characterizes families of d-dimensional unitaries and qubit Pauli channels that admit masking through bipartite broadcasting channels, with an iff condition that a qubit channel masks against the identity precisely when it is unital and possesses a pure-state fixed point.
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Engineering of non-Hermitian interactions in digital qudit quantum simulators
Derives an analytical mapping from hybrid unitary-projective qutrit evolution to target non-Hermitian two-body interactions for pseudo-spins in a Zeno subspace, validated numerically.
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Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays
Presents IRD-GrAPE optimal control to generate GHZ, Dicke, and extremal states in dipolar Rydberg arrays by truncating the Hilbert space to capture leakage with linear scaling.
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Comparing Qubit and Qudit Encodings for EV Charging and Trip Assignment Problems
Qudit encodings for EV trip assignments cut the Hilbert space dimension exponentially and match or exceed qubit-based QAOA performance on constrained uni- and bi-directional charging problems.
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All-Optical Universal Control of Hyperfine Qudits in Trapped Neutral Atoms
An all-optical method identifies magic polarization angles for selective Raman control of 6-level hyperfine qudits in 173Yb, providing universal single-qudit gates and Rydberg-based two-qudit operations.
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Quantum capacity analysis of finite-dimensional lossy channels
Quantum capacity of 4D MAD channels is analyzed with a technique valid outside degradable regimes, and the complete degradability region is characterized for general d-dimensional MAD channels.
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Sparse Phase Ansatzes for Resource-Efficient Qudit State Preparation via the SNAP-Displacement Protocol
Sparse phase ansatzes for the SNAP-displacement protocol achieve favorable fidelity versus resource trade-offs for qudit state preparation up to dimension 64 in both ideal and noisy regimes.
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Quantum generative modeling for financial time series with temporal correlations
QGANs with quantum generators and classical discriminators generate financial time series matching target distributions and desired temporal correlations, with quality varying by circuit depth, bond dimension, and simulation method.
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Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
In a star network of qubits with XYZ Heisenberg interactions, localizable bipartite peripheral entanglement grows logarithmically with periphery size at zero xy-anisotropy and survives noisy measurements in the large-periphery limit.
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Introduction to QUDO, Tensor QUDO and HOBO formulations: Qudits, Equivalences, Knapsack Problem, Traveling Salesman Problem and Combinatorial Games
The paper reviews QUDO, T-QUDO and HOBO formulations, provides explicit encodings between them, discusses limitations, and gives examples for knapsack, TSP and games including N-Queens and Peg Solitaire.
- Randomized Benchmarking with Synthetic Quantum Circuits