6 papers
Symmetry Dilemmas in Quantum Computing for Chemistry: A Comprehensive Analysis
Ilias Magoulas, Muhan Zhang, Francesco A. Evangelista
Symmetry adaptation, universality, and gate efficiency are central but often competing requirements in quantum algorithms for electronic structure and many-body physics. For exampl…
Spin-Adapted Fermionic Unitaries: From Lie Algebras to Compact Quantum Circuits
Ilias Magoulas, Francesco A. Evangelista
Conservation of symmetries is crucial for reliable quantum simulations of molecular systems, yet compact circuit implementations of fully symmetry-adapted fermionic unitaries have…
Clifford Transformations for Fermionic Quantum Systems: From Paulis to Majoranas to Fermions
Ilias Magoulas, Francesco A. Evangelista
Clifford gates and transformations, which map products of elementary Pauli or Majorana operators to other such products, are foundational in quantum computing, underpinning the sta…
Closed-Form Expressions for Unitaries of Spin-Adapted Fermionic Operators
Ilias Magoulas, Francesco A. Evangelista
One of the open challenges in quantum computing simulations of problems of chemical interest is the proper enforcement of spin symmetry. Efficient quantum circuits implementing uni…
Exact closed-form unitary transformations of fermionic operators
Francesco A. Evangelista, Ilias Magoulas
Unitary transformations play a fundamental role in many-body physics, and except for special cases, they are not expressible in closed form. We present closed-form expressions for…
Fermionic Mean-Field Theory as a Tool for Studying Spin Hamiltonians
Thomas M. Henderson, Brent Harrison, Ilias Magoulas +5
The Jordan--Wigner transformation permits one to convert spin operators into spinless fermion ones, or vice versa. In some cases, it transforms an interacting spin Hamiltonia…