153 citations · 162 across the 16 of their papers we have counts for
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Resource and entanglement study of a hybrid qudit-qubit quantum algorithm for solving the integer programming problem
Kapil Goswami, Rick Mukherjee, Peter Schmelcher
Recently, a hybrid qudit-qubit algorithm [1] was presented for solving the integer programming problem with a polynomial quantum advantage. In this work, we investigate the algorit…
Pauli Supported Invariants for Periodic Graphs-Derived Hamiltonians
Sarah Chehade, Andrew Vlasic, Rebekah Herrman +1
We introduce a graph invariant obtained from Pauli decompositions of Hamiltonians derived from local graph neighborhoods. Given a rooted h-hop neighborhood, we construct a local ad…
Benchmarking Hybrid Quantum-Classical Algorithms for Power Grid Optimization Problems
Igor Gaidai, Rick Mukherjee
Alternating Current Optimal Power Flow Unit Commitment (AC-OPF-UC) is a difficult mixed-integer nonlinear optimization problem that combines binary generator commitment decisions w…
Adaptive Tensor Network Sampling for Quantum Optimal Control
Zeki Zeybek, Rick Mukherjee, Peter Schmelcher
Quantum optimal control (QOC) provides a systematic framework for achieving high-fidelity operations in quantum systems and plays a central role in tasks such as gate synthesis, st…
Quantum simulation of Motzkin spin chain with Rydberg atoms
Kaustav Mukherjee, Hatem Barghathi, Adrian Del Maestro +1
Motzkin spin chain is a well-known mathematical model with connections to symmetry-protected topological phases, such as the Haldane phase, as well as to concepts in the AdS/CFT co…
High-fidelity non-adiabatic dark state gates for neutral atoms
Nader Mostaan, Kapil Goswami, Peter Schmelcher +1
Rydberg blockade gates are the most experimentally mature entangling operations in neutral-atom quantum processors, combining fast gate times with simple control, but their perform…
Scalable Preparation of Matrix Product States with Sequential and Brick Wall Quantum Circuits
Tomasz Szołdra, Rick Mukherjee, Peter Schmelcher
Preparing arbitrary quantum states requires exponential resources. Matrix Product States (MPS) admit more efficient constructions, particularly when accuracy is traded for circuit…
Inverse Quantum Potential Reconstruction via Generalized Bertlmann-Martin Inequalities
M. Gage Plott, F. Ayça Çetinkaya, Rick Mukherjee
Reconstructing a radial (1D) quantum potential, V(r), from a few bound-state energies is a long-standing inverse problem because limited spectral data must constrain an entire pote…