77 citations · 309 across the 18 of their papers we have counts for
18 papers
Efficient quantum algorithm for solving differential equations with Fourier nonlinearity via Koopman linearization
Judd Katz, Gopikrishnan Muraleedharan, Abhijeet Alase
Quantum algorithms offer an exponential advantage with respect to the number of dependent variables for solving certain nonlinear ordinary differential equations (ODEs). These algo…
Protected phase gate for the - qubit using its internal modes
Xanda C Kolesnikow, Thomas B Smith, Felix Thomsen +2
Protected superconducting qubits such as the - qubit promise to substantially reduce physical error rates. However, a key challenge in the field is designing gates for these…
Quantum signal processing without angle finding
Abhijeet Alase
Quantum signal processing (QSP) has emerged as a unifying subroutine in quantum algorithms. In QSP, we are given a function and a unitary black-box , and the goal is to cons…
Resolvent-based quantum phase estimation: Towards estimation of parametrized eigenvalues
Abhijeet Alase, Salini Karuvade
Quantum algorithms for estimating the eigenvalues of matrices, including the phase estimation algorithm, serve as core subroutines in a wide range of quantum algorithms, including…
The matrix permanent and determinant from a spin system
Abhijeet Alase, Owen Doty, David L. Feder
In contrast to the determinant, no algorithm is known for the exact determination of the permanent of a square matrix that runs in time polynomial in its dimension. Consequently, n…
Erasure conversion in Majorana qubits via local quasiparticle detection
Abhijeet Alase, Kevin D. Stubbs, Barry C. Sanders +1
Quasiparticle poisoning errors in Majorana-based qubits are not suppressed by the underlying topological properties, which undermines the usefulness of this proposed platform. This…
Reply to the Comment on `The operational foundations of PT-symmetric and quasi-Hermitian quantum theory'
Abhijeet Alase, Salini Karuvade, Carlo Maria Scandolo
This document is our reply to the Comment (Miloslav Znojil 2023 J. Phys. A: Math. Theor. 56, 038001) on our recent work titled `The operational foundations of PT-symmetric and quas…
Wiener-Hopf factorization approach to a bulk-boundary correspondence and stability conditions for topological zero-energy modes
Abhijeet Alase, Emilio Cobanera, Gerardo Ortiz +1
Both the physics and applications of fermionic symmetry-protected topological phases rely heavily on a principle known as bulk-boundary correspondence, which predicts the emergence…
The operational foundations of PT-symmetric and quasi-Hermitian quantum theory
Abhijeet Alase, Salini Karuvade, Carlo Maria Scandolo
PT-symmetric quantum theory was originally proposed with the aim of extending standard quantum theory by relaxing the Hermiticity constraint on Hamiltonians. However, no such exten…
Free-Fermionic Topological Quantum Sensors
Saubhik Sarkar, Chiranjib Mukhopadhyay, Abhijeet Alase +1
Second order quantum phase transitions, with well-known features such as long-range entanglement, symmetry breaking, and gap closing, exhibit quantum enhancement for sensing at cri…
Tight Bound for Estimating Expectation Values from a System of Linear Equations
Abhijeet Alase, Robert R. Nerem, Mohsen Bagherimehrab +2
The System of Linear Equations Problem (SLEP) is specified by a complex invertible matrix , the condition number of , a vector , a Hermitian matrix and an accuracy…
Generating and detecting topological phases with higher Chern number
Abhijeet Alase, David L. Feder
Topological phases with broken time-reversal symmetry and Chern number |C|>=2 are of fundamental interest, but it remains unclear how to engineer the desired topological Hamiltonia…
Observing a Changing Hilbert-Space Inner Product
Salini Karuvade, Abhijeet Alase, Barry C. Sanders
In quantum mechanics, physical states are represented by rays in Hilbert space , which is a vector space imbued by an inner product , whose physica…
Squaring the fermion: The threefold way and the fate of zero modes
Qiao-Ru Xu, Vincent P. Flynn, Abhijeet Alase +3
We investigate topological properties and classification of mean-field theories of stable bosonic systems. Of the three standard classifying symmetries, only time-reversal represen…
Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure
Emilio Cobanera, Abhijeet Alase, Gerardo Ortiz +1
We describe a method for exactly diagonalizing clean -dimensional lattice systems of independent fermions subject to arbitrary boundary conditions in one direction, as well as s…
A generalization of Bloch's theorem for arbitrary boundary conditions: Theory
Abhijeet Alase, Emilio Cobanera, Gerardo Ortiz +1
We present a generalization of Bloch's theorem to finite-range lattice systems of independent fermions, in which translation symmetry is broken only by arbitrary boundary condition…
Exact solution of corner-modified banded block-Toeplitz eigensystems
Emilio Cobanera, Abhijeet Alase, Gerardo Ortiz +1
Motivated by the challenge of seeking a rigorous foundation for the bulk-boundary correspondence for free fermions, we introduce an algorithm for determining exactly the spectrum a…
Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions
Abhijeet Alase, Emilio Cobanera, Gerardo Ortiz +1
We present a procedure for exactly diagonalizing finite-range quadratic fermionic Hamiltonians with arbitrary boundary conditions in one of D dimensions, and periodic in the remain…