Quantum Computing

As a "spin–off" of using density matrix methods to study spin observables, a research program on quantum computing (QC) and information was initiated. Our published Mathematica code:" QDENSITY," provides a simulation of the basic QC teleportation, Grover's search, and Shor's factorization algorithms. Later, a large scale parallel supercomputer QC simulation (called QCMPI) based on various density matrix evolution models was published and is also available on the web.  In 2010, an updated version of " QDENSITY, "  called QCWAVE, was completed. QCWAVE includes a multiverse approach to the influence of noise on quantum algorithms and includes simulation of quantum error correction, using parallel computing features of Mathematica.  It is also available on the web. In 2016, QDENSITY/QCWAVE was extended to qutrit and hybrid qubit/qutrit systems.  More recently, a paper "Model Dynamics for Quantum Computing" was published in Annals of Physics, followed by a study of CNOT gate dynamics also published in Annals of Physics. Most recent versions are called QCPITT, which includes more dynamics and direct links to extant quantum computers. Studies of entanglement criteria, wave packet tunneling and scattering in one, two, and three dimensions and a novel dynamical method for finding quantum eigenvalues and states are underway.

Numerical methods for solving nonlinear physics problems

In this collaboration with Victor Mandelzweig (Hebrew University, Israel), methods for solving nonlinear problems in Physics have been developed and applied to several fields of Physics. The methods we have developed combine a quasilinearization technique which can incorporate a wavelet basis for solving particularly difficult equations.

Spin observables in medium energy electromagnetic strong (hadron) reactions

Experiments at Jefferson National Laboratory (JLAB)and at other accelerators involve polarized photons, polarized protons, and polarized targets. Precision studies of the electromagnetic production of (spin 0, 1 and 2) mesons continue. By studying the spin characteristics of these reactions, we probe the underlying strong interaction dynamics and its relationship to basic QCD ideas. Predictions were made and subjected to experimental tests. The excited states of nucleons (neutrons and protons) are examined, which is the subject called hadron spectroscopy.

In addition to electromagnetic interactions, over the years I have studied strong interactions, the nuclear many–body problem, proton–antiproton reactions, and a variety of other mesonic and nucleon interactions. Numerous PhD theses have been written on these subjects under my supervision.

Awards

Phi Beta Kappa, 1955
DAAD Fellow 1958
Woodrow Wilson Fellow, 1960
Sigma Xi Fellow , 1963
Fellow, American Physical Society, 1992

History

Research Associate, Columbia University, 1963--1965
Assistant Professor, University of Pittsburgh, 1965
Associate Professor, University of Pittsburgh, 1969
Professor, University of Pittsburgh, 1974
Emeritus Professor, University of Pittsburgh, 2006
Oxford University, Jan.-- Aug. 1970
Summer Consultant at Brookhaven National Laboratory, 1969 and 1975
Summer Consultant at Los Alamos Scientific Laboratory, 1972 and 1974
Member Program Advisory Committee--LAMPF, 1980 -- 1983
Visiting Professor, Hebrew University, 1978
Visiting Professor, C.M.U., 1984
Chair, Department of Physics and Astronomy, University of Pittsburgh, July 1994 - 2000

Selected Publications

"Local model dynamics for two qubits," F. Tabakin , Annals of Physics, Volume 457, October 2023 Local model.

"Model dynamics for quantum computing," F. Tabakin , Annals of Physics, Volume 383, August 2017 Model.

QCPITT: " quantum computer simulation packages 2022 ," F. Tabakin QCPITT and QCPITT

"Dynamical coupled-channel approach to hadronic and electromagnetic production of kaon-hyperon on the proton," B. Julia-Diaz, B. Saghai (DAPNIA, Saclay), T.-S.H. Lee (Argonne, PHY) , F. Tabakin (Pittsburgh U.), Phys.Rev.C73: 055204, 2006 and references therein.

"Qdensity: a Mathematica Quantum Computer Simulation," B. Julia-Diaz, J. M. Burdis, F. Tabakin, Computer Physics Comm., 174 (2006) 914; quant-ph/0508101; Mathematica Repository; QDENSITY webpage.

QCWAVE: "A Mathematica quantum computer simulation update ," F. Tabakin and B. Julia-Diaz Computer Physics Communications 182 (2011) 1693.

Computer Physics Communications, Volume 201, April 2016, Pages 171-172  QDENSITY/QCWAVE: A Mathematica quantum computer simulation update". The description is in the paper: Update14.pdf

"Mixing of the f(0) and a(0) scalar mesons in threshold photoproduction," B. Kerbikov (Moscow, ITEP) , F. Tabakin (Pittsburgh U.), Phys.Rev.C62: 064601, 2000.

"Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators," E. Z. Liverts, V. B. Mandelzweig, F. Tabakin, J. Math. Phys. 47, 062109 (2006) and references therein.

"Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs," V. B. Mandelzweig, F. Tabakin, Computer Physics Comm., Volume 141, Issue 2, 30 Nov. 2001, Pages 268-281.

"Constraints on vector meson photoproduction spin observables," W.M. Kloet (Rutgers U.), F. Tabakin (Pittsburgh U.), Phys.Rev.C61: 015501, 2000.

"Quark - anti-quark bound states within a Dyson-Schwinger Bethe-Salpeter formalism," C. Savkli (William-Mary Coll.), F. Tabakin (Pittsburgh U.), Nucl.Phys. A628: 645-668, 1998.

For earlier publications and related matters: click here.