65 citations · 171 across the 9 of their papers we have counts for
10 papers
Efficient Calculation of Equilibrium Correlation Functions
Yizhi Shen, Roel Van Beeumen, Wibe A. de Jong +1
A majority of measurable dynamic quantities of a physical system is described as an equilibrium correlation function of the form , where …
Spin models with critical ground space degeneracy from Lie algebra relations
Andras Molnar, Efekan Kökcü, Norbert Schuch +1
We introduce an -symmetric spin model derived from the algebraic structure of : It is obtained as the nearest-neighbor parent Hamiltonian of a Mat…
Challenges in Barren Plateau Mitigation with Dynamic Parameterized Quantum Circuits
Sumeet Shirgure, Efekan Kökcü, Siyuan Niu
Variational quantum algorithms (VQAs) are a promising paradigm for quantum advantage, yet their trainability is severely hampered by barren plateaus (BPs). Several recent works hav…
Strong-coupling expansion and two-point Padé approximation for lattice field theory
Yuanran Zhu, Efekan Kökcü, Chao Yang
Reliable approximations for correlation functions at intermediate and strong coupling remain hard to obtain for general quantum field theories. Perturbative expansions are often as…
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…
Algebraic Compression of Free Fermionic Quantum Circuits: Particle Creation, Arbitrary Lattices and Controlled Evolution
Efekan Kökcü, Daan Camps, Lindsay Bassman Oftelie +3
Recently we developed a local and constructive algorithm based on Lie algebraic methods for compressing Trotterized evolution under Hamiltonians that can be mapped to free fermions…
Mapping the metal-insulator phase diagram by algebraically fast-forwarding dynamics on a cloud quantum computer
Thomas Steckmann, Trevor Keen, Efekan Kökcü +3
Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model and thus gives an approximate solution of the Hubbard…
Algebraic Compression of Quantum Circuits for Hamiltonian Evolution
Efekan Kökcü, Daan Camps, Lindsay Bassman +4
Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. Synthesizing the corresponding quantum circuit is typically done by break…
An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation
Daan Camps, Efekan Kökcü, Lindsay Bassman +3
Quantum computing is a promising technology that harnesses the peculiarities of quantum mechanics to deliver computational speedups for some problems that are intractable to solve…
Fixed Depth Hamiltonian Simulation via Cartan Decomposition
Efekan Kökcü, Thomas Steckmann, Yan Wang +3
Simulating quantum dynamics on classical computers is challenging for large systems due to the significant memory requirements. Simulation on quantum computers is a promising alter…