NT Seminar - Shaswat Tiwari, Brookhaven National Laboratory
Description
Speaker: Shaswat Tiwari, Brookhaven National Laboratory
Title: Quantum algorithms for high-energy evolution
Abstract: I will describe a new method for solving the Jalilian- Marian-Iancu-Mclerran-Weigert-Leonidov-Kovner (JIMWLK) evolution equation on quantum computers. Our approach uses the reformulation of JIMWLK as a Lindblad equation for evolution of hadronic density matrix with rapidity. Our approach uses the reformulation of the JIMWLK equation as a Lindblad master equation governing the rapidity evolution of the hadronic density matrix, as established in a prior work. To render the problem tractable for quantum simulation, we introduce several approximations: the two-dimensional transverse plane is reduced to a one-dimensional radial lattice by assuming azimuthal symmetry of the jump operators; the gauge group is restricted to SU(2); and the infinite Wilson lines of the JIMWLK equation are replaced by finite Wilson links along the light-cone direction. Under these approximations, we implement the Lindblad evolution on a quantum computer by decomposing the non-unitary evolution operator into a linear combination of unitaries (LCU) and verify the results using the Qiskit statevector simulator. This work establishes a concrete pathway toward quantum simulation of high-energy QCD evolution equations, with direct relevance to the physics program of the Electron-Ion Collider.
Title: Quantum algorithms for high-energy evolution
Abstract: I will describe a new method for solving the Jalilian- Marian-Iancu-Mclerran-Weigert-Leonidov-Kovner (JIMWLK) evolution equation on quantum computers. Our approach uses the reformulation of JIMWLK as a Lindblad equation for evolution of hadronic density matrix with rapidity. Our approach uses the reformulation of the JIMWLK equation as a Lindblad master equation governing the rapidity evolution of the hadronic density matrix, as established in a prior work. To render the problem tractable for quantum simulation, we introduce several approximations: the two-dimensional transverse plane is reduced to a one-dimensional radial lattice by assuming azimuthal symmetry of the jump operators; the gauge group is restricted to SU(2); and the infinite Wilson lines of the JIMWLK equation are replaced by finite Wilson links along the light-cone direction. Under these approximations, we implement the Lindblad evolution on a quantum computer by decomposing the non-unitary evolution operator into a linear combination of unitaries (LCU) and verify the results using the Qiskit statevector simulator. This work establishes a concrete pathway toward quantum simulation of high-energy QCD evolution equations, with direct relevance to the physics program of the Electron-Ion Collider.