167 citations · 332 across the 36 of their papers we have counts for
37 papers
Circuit-depth optimization of quantum partial-search algorithms
Yan-Bo Jiang, Xiao-Hui Wang, Kun Zhang +1
Grover's algorithm is optimal in terms of oracle queries. We can trade accuracy for speed, which gives rise to the quantum partial-search algorithm. The partial-search algorithm is…
When Is Kramers-Wannier Duality Invertible?
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
{\it Kramers-Wannier} duality of the quantum Ising chain is naturally realized as a noninvertible transformation on a finite periodic chain. Upon incorporating appropriate symmetry…
Multiparameter Quantum Affine Spaces and the Scalene Yang--Baxter Equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
We construct representation-independent families of solutions of the non-braided scalene Yang--Baxter equation from quadratic noncommutative algebras. Beginning with two anticommut…
Scalene Yang--Baxter triples as a source of hidden symmetries beyond the ordinary Yang--Baxter equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
We study a nearest-neighbor non-Hermitian spin chain obtained from one member of an exact non-braided scalene Yang--Baxter triple. Its local Hamiltonian density violates both the d…
Symmetries of the Generalized Yang--Baxter Equations
Pramod Padmanabhan, Somnath Maity, Akash Sinha +1
The generalized Yang-Baxter equations are multi-site versions of the standard Yang-Baxter equation. When spectral parameters are included, such equations are expected to lead to in…
Palindromic structure of depth-efficient quantum search algorithms
Kun Zhang, Hai-Long Shi, Xiao-Hui Wang +1
Grover's algorithm is optimal in query complexity, but not necessarily in circuit depth. We formulate unstructured quantum search as a circuit-depth optimization problem and identi…
Hidden Ising models from the generalized Yang-Baxter equation
Akash Sinha, Somnath Maity, Pramod Padmanabhan +1
We introduce a one dimensional spin Hamiltonian with multi-site interactions, but still local. The algebra of its Hamiltonian densities resembles that of the transver…
Asymptotic optimality of Grover-Radhakrishnan-Korepin algorithm
Kun Zhang, Kang-Yuan Chen, Xiao-Hui Wang +1
Grover's algorithm is a cornerstone of quantum algorithms and is strictly optimal in oracle-query complexity. While the full search problem admits no further improvement, one may t…
Asymptotic bounds on quantum partial search algorithm and its applications to parallel search
Yan-Bo Jiang, Xiao-Hui Wang, Kun Zhang +1
Grover's algorithm provides a quadratic speedup over classical algorithms for searching an unstructured database and is known to be strictly optimal in oracle query complexity, wit…
Minimal nonintegrable models with three-site interactions
Wen-Ming Fan, Kun Hao, Yang-Yang Chen +3
We study integrability breaking in translationally invariant spin- chains with genuine three-site interactions. Using a two-qubit composite representation, we prove that the d…
Thermodynamics of the Heisenberg XXX chain with negative spin
Rong Zhong, Yang-Yang Chen, Kun Hao +2
We study the thermodynamics of the isotropic Heisenberg XXX spin chain with negative spin, focusing on the case . The model is equivalent to the quantum lattice nonlinear Sch…
Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
Integrable trotterization} provides a method to evolve a continuous time integrable many-body system in discrete time, such that it retains its conserved quantities. Here we explic…
Clifford Solver for the Tetrahedron Equation and its Variants
Pramod Padmanabhan, Vivek Kumar Singh, Vladimir Korepin
The different forms of the tetrahedron equation appear when all possible ways to label the scattering process of infinitely long straight lines are considered in three dimensional…
Quantum Utility in Simulating the Real-time Dynamics of the Fermi-Hubbard Model using Superconducting Quantum Computers
Talal Ahmed Chowdhury, Vladimir Korepin, Vincent R. Pascuzzi +1
The Fermi-Hubbard model is a fundamental model in condensed matter physics that describes strongly correlated electrons. On the other hand, quantum computers are emerging as powerf…
Absence of local conserved charges of the Fredkin spin chain and its truncated versions
Wen-Ming Fan, Kun Hao, Yang-Yang Chen +3
Conservation laws serve as the hallmark of integrability. The absence of conserved charges typically implies that the model is nonintegrable. The recently proposed Fredkin spin cha…
Small behavior in QCD from maximal entanglement and conformal invariance
Sebastian Grieninger, Kun Hao, Dmitri E. Kharzeev +1
Recent evidence suggests that, at small Bjorken , QCD evolution drives the proton into a state of maximal entanglement. If the evolution kernel is assumed to be conformally inva…
Almost local integrable models from supersymmetry algebras
Somnath Maity, Pramod Padmanabhan, Jarmo Hietarinta +1
Supersymmetry algebras can be used to obtain algebraic expressions for constant Yang-Baxter solutions, also known as braid group generators. This was done for non-invertible braid…
The Yang-Baxter integrability of the critical Ising chain
Akash Sinha, Tinu Justin, Pramod Padmanabhan +1
We show that the one dimensional, critical transverse field Ising model is Yang-Baxter integrable. This is done by constructing commuting transfer matrices built out of a -matri…
Non-hermitian integrable systems from constant non-invertible solutions of the Yang-Baxter equation
Somnath Maity, Pramod Padmanabhan, Vladimir Korepin
We construct invertible spectral parameter dependent Yang-Baxter solutions (-matrices) by Baxterizing constant non-invertible Yang-Baxter solutions. The solutions are algebraic…
Non-invertible symmetry breaking in a frustration-free spin chain
Akash Sinha, Vivek Kumar Singh, Pramod Padmanabhan +2
A nearest-neighbor, frustration-free spin chain can be constructed {\it via} projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this syst…
Majorana fermions solve the tetrahedron equations as well as higher simplex equations
Pramod Padmanabhan, Vladimir Korepin
Yang-Baxter equations define quantum integrable models. The tetrahedron and higher simplex equations are multi-dimensional generalizations. Finding the solutions of these equations…
Algebraic classification of Hietarinta's solutions of Yang-Baxter equations~:~invertible operators
Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan +1
In order to examine the simulation of integrable quantum systems using quantum computers, it is crucial to first classify Yang-Baxter operators. Hietarinta was among the first to c…
Near-deterministic quantum search algorithm without phase design
Zhen Wang, Kun Zhang, Vladimir Korepin
Grover's algorithm solves the unstructured search problem. Grover's algorithm can find the target state with certainty only if searching one out of four. Designing the deterministi…
Geometric representations of braid and Yang-Baxter gates
Kun Zhang, Kun Hao, Kwangmin Yu +2
Brick-wall circuits composed of the Yang-Baxter gates are integrable. It becomes an important tool to study the quantum many-body system out of equilibrium. To put the Yang-Baxter…