Title: Simulation of Matrix Product State on a Quantum Computer,
Abstract: The study of tensor network theory is an important field and promises a wide
range of experimental and quantum information theoretical applications. Matrix
product state is the most well-known example of tensor network states, which
provides an effective and efficient representation of one-dimensional quantum
systems. Indeed, it lies at the heart of density matrix renormalization group
(DMRG), a most common method for simulation of one-dimensional strongly
correlated quantum systems. It has got attention from several areas varying
from solid-state systems to quantum computing and quantum simulators. We have
considered maximally entangled matrix product states (GHZ and W). Here, we
designed the quantum circuits for implementing the matrix product states. In
this paper, we simulated the matrix product states in customized IBM (2-qubit,
3-qubit and 4-qubit) quantum systems and determined the probability
distribution among the quantum states.