This work describes a method to prepare the quantum state of the Heisenberg spin-1/2 Hamiltonian for the Kagome Lattice in an IBM 16 qubit quantum computer with a fidelity below 1% of the ground state computed via a classical Eigen-solver. Furthermore, this solution has a very high noise tolerance (or overall success rate above 98%). With industrious care taken to deal with the persistent noise inherent to current quantum computers; we show that our solution, when run, multiple times achieves a very high probability of success and high fidelity. We take this work a step further by including efficient scalability or the ability to run on any qubit size quantum computer. The platform used in this experiment is IBM's 16 qubit Gudalupe processor using the Variational Quantum Eigensolver (VQE).This work describes a method to prepare the quantum state of the Heisenberg spin-1/2 Hamiltonian for the Kagome Lattice in an IBM 16 qubit quantum computer with a fidelity below 1% of the ground state computed via a classical Eigen-solver. Furthermore, this solution has a very high noise tolerance (or overall success rate above 98%). With industrious care taken to deal with the persistent noise inherent to current quantum computers; we show that our solution, when run, multiple times achieves a very high probability of success and high fidelity. We take this work a step further by including efficient scalability or the ability to run on any qubit size quantum computer. The platform used in this experiment is IBM's 16 qubit Gudalupe processor using the Variational Quantum Eigensolver (VQE).

arXiv:2304.04516Apr 10, 20230 citations

Universality in the three-dimensional random bond quantum Heisenberg antiferromagnet

Ulvi Kanbur, Erol Vatansever, Hamza Polat

The three-dimensional quenched random bond diluted $({J}_{1}\ensuremath{-}{J}_{2})$ quantum Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using extensive stochastic series expansion quantum Monte Carlo simulations, we perform very long runs for an $L\ifmmode\times\else\texttimes\fi{}L\ifmmode\times\else\texttimes\fi{}L$ lattice up to $L=48$ . By employing a standard finite-size scaling method, the numerical values of the N\'eel temperature are determined with high precision as a function of the coupling ratio $r={J}_{2}/{J}_{1}$ . Based on the estimated critical exponents, we find that the critical behavior of the considered model belongs to the pure classical three-dimensional $O(3)$ Heisenberg universality class.The three-dimensional quenched random bond diluted $({J}_{1}\ensuremath{-}{J}_{2})$ quantum Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using extensive stochastic series expansion quantum Monte Carlo simulations, we perform very long runs for an $L\ifmmode\times\else\texttimes\fi{}L\ifmmode\times\else\texttimes\fi{}L$ lattice up to $L=48$. By employing a standard finite-size scaling method, the numerical values of the N\'eel temperature are determined with high precision as a function of the coupling ratio $r={J}_{2}/{J}_{1}$. Based on the estimated critical exponents, we find that the critical behavior of the considered model belongs to the pure classical three-dimensional $O(3)$ Heisenberg universality class.

arXiv:2008.01464Physical review. B./Physical review. BAug 14, 20206 citations

Trying to Beat Heisenberg

Cora Sadosky

CRC Press eBooksDec 15, 19892 citations

Dodging Heisenberg

N. MacDonald

NatureApr 1, 19782 citations

Entropy squeezing for a two-level atom

Mao-Fa Fang, Peng Zhou, S. Swain

The usual definition of squeezing, based on the Heisenberg uncertainty principle, measures uncertainty in terms of the standard deviation. It can run into difficulties when applied to squeezing in the two-level atom. An alternative definition of squeezing is presented for this system, based on information entropy theory, which overcomes the disadvantages of the definition based on the Heisenberg uncertainty relation. The utility of this definition is illustrated by examining squeezing in the information entropy of a two-level atom in the Jaynes-Cummings model, and in resonance fluorescence.The usual definition of squeezing, based on the Heisenberg uncertainty principle, measures uncertainty in terms of the standard deviation. It can run into difficulties when applied to squeezing in the two-level atom. An alternative definition of squeezing is presented for this system, based on information entropy theory, which overcomes the disadvantages of the definition based on the Heisenberg uncertainty relation. The utility of this definition is illustrated by examining squeezing in the information entropy of a two-level atom in the Jaynes-Cummings model, and in resonance fluorescence.

Journal of Modern OpticsMay 1, 2000113 citations

L=48

. By employing a standard finite-size scaling method, the numerical values of the N\'eel temperature are determined with high precision as a function of the coupling ratio

r={J}_{2}/{J}_{1}

. Based on the estimated critical exponents, we find that the critical behavior of the considered model belongs to the pure classical three-dimensional

O(3)

Heisenberg universality class.