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9 papers · 2 filters
Initial state preparation for quantum chemistry on quantum computers
Stepan Fomichev, Kasra Hejazi, Modjtaba Shokrian Zini +8
Quantum algorithms for ground-state energy estimation of chemical systems require a high-quality initial state. However, initial state preparation is commonly either neglected enti…
Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension
Roeland Wiersema, Efekan Kökcü, Alexander F. Kemper +1
Much is understood about 1-dimensional spin chains in terms of entanglement properties, physical phases, and integrability. However, the Lie algebraic properties of the Hamiltonian…
All you need is spin: SU(2) equivariant variational quantum circuits based on spin networks
Richard D. P. East, Guillermo Alonso-Linaje, Chae-Yeun Park
Variational algorithms require architectures that naturally constrain the optimization space to run efficiently. Geometric quantum machine learning achieves this goal by encoding g…
Backpropagation scaling in parameterised quantum circuits
Joseph Bowles, David Wierichs, Chae-Yeun Park
The discovery of the backpropagation algorithm ranks among one of the most important moments in the history of machine learning, and has made possible the training of large-scale n…
Stabilizer Formalism for Operator Algebra Quantum Error Correction
Guillaume Dauphinais, David W. Kribs, Michael Vasmer
We introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formu…
Here comes the SU(N): multivariate quantum gates and gradients
Roeland Wiersema, Dylan Lewis, David Wierichs +2
Variational quantum algorithms use non-convex optimization methods to find the optimal parameters for a parametrized quantum circuit in order to solve a computational problem. The…