153 citations · 162 across the 16 of their papers we have counts for
18 papers
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…
Resource-Efficient Quantum Optimization via Higher-Order Encoding
Frederik Koch, Shahram Panahiyan, Rick Mukherjee +2
Quantum approaches to combinatorial optimization problems (COPs) are often limited by the resource demands of Quadratic Unconstrained Binary Optimization (QUBO) encodings, which en…
Reconfigurable Four-Photon Interference among Three Nodes on a Field Deployed Metropolitan Fiber Network
Kazi Reaz, Md Mehdi Hassan, Jacob E. Humberd +7
Advanced quantum networking protocols beyond bi-photon, point-to-point links rely critically on the ability to perform multi-photon interference across multiple nodes under realist…
Qudit-based scalable quantum algorithm for solving the integer programming problem
Kapil Goswami, Peter Schmelcher, Rick Mukherjee
Integer programming (IP) is an NP-hard combinatorial optimization problem that is widely used to represent a diverse set of real-world problems spanning multiple fields, such as fi…
Ab-Initio Approach to Many-Body Quantum Spin Dynamics
Aditya Dubey, Zeki Zeybek, Fabian Köhler +2
A fundamental longstanding problem in studying spin models is the efficient and accurate numerical simulation of the long-time behavior of larger systems. The exponential growth of…
Towards Arbitrary QUBO Optimization: Analysis of Classical and Quantum-Activated Feedforward Neural Networks
Chia-Tso Lai, Carsten Blank, Peter Schmelcher +1
Quadratic Unconstrained Binary Optimization (QUBO) sits at the heart of many industries and academic fields such as logistics, supply chain, finance, pharmaceutical science, chemis…
Solving The Travelling Salesman Problem Using A Single Qubit
Kapil Goswami, Gagan Anekonda Veereshi, Peter Schmelcher +1
The travelling salesman problem (TSP) is a popular NP-hard-combinatorial optimization problem that requires finding the optimal way for a salesman to travel through different citie…
Formation of Rydberg Crystals Induced by Quantum Melting in One-Dimension
Zeki Zeybek, Peter Schmelcher, Rick Mukherjee
Quantum fluctuations in frustrated systems can lead to the emergence of complex many-body phases. However, the role of quantum fluctuations in frustration-free lattices is less exp…
Bond-Order Density Wave Phases in Dimerized Extended Bose-Hubbard Models
Zeki Zeybek, Peter Schmelcher, Rick Mukherjee
The Bose-Hubbard model (BHM) has been widely explored to develop a profound understanding of the strongly correlated behavior of interacting bosons. Quantum simulators not only all…
Integer Programming Using A Single Atom
Kapil Goswami, Peter Schmelcher, Rick Mukherjee
Integer programming (IP), as the name suggests is an integer-variable-based approach commonly used to formulate real-world optimization problems with constraints. Currently, quantu…
Spin squeezing in a Rydberg lattice clock
L. I. R. Gil, R. Mukherjee, E. M. Bridge +2
Squeezed many-body states of atoms are a valuable resource for high precision frequency metrology and could tremendously boost the performance of atomic lattice clocks. Here, we th…