Quantum computation of nuclear observables involving linear combinations of unitary operators
Pooja Siwach, P. Arumugam
Abstract
We present the quantum computation of nuclear observables where the operators of interest are first decomposed in terms of the linear combination of unitaries. Then we utilize the Hadamard test and the linear combination of unitaries based methods to compute the expectation values. We apply these methods to calculate the electric quadrupole moment of the deuteron. The results are compared for the Jordan-Wigner transformation and Gray code encoding. We discuss the versatility of our approach that can be utilized in general to calculate several observables on a quantum computer.
Topics & Concepts
ObservableComputationHadamard transformUnitary stateQuantum computerUnitary transformationQuantumMathematicsComputer scienceAlgorithmApplied mathematicsPhysicsQuantum mechanicsStatistical physicsLawPolitical scienceQuantum Computing Algorithms and ArchitectureQuantum Mechanics and ApplicationsQuantum Information and Cryptography