12 citations · 44 across the 9 of their papers we have counts for
9 papers
Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits
Iman Marvian, Hanqing Liu, Austin Hulse
Universality of local unitary transformations is one of the cornerstones of quantum computing with many applications and implications that go beyond this field. However, it has bee…
Qubit Regularization and Qubit Embedding Algebras
Hanqing Liu, Shailesh Chandrasekharan
Qubit regularization is a procedure to regularize the infinite dimensional local Hilbert space of bosonic fields to a finite dimensional one, which is a crucial step when trying to…
A spin-charge flip symmetric fixed point in 2+1d with massless Dirac fermions
Hanqing Liu
We study a quantum phase transition of electrons on a two-dimensional square lattice. Our lattice model preserves the full symmetry of free spin- Dirac…
Quantum Criticality of Anti-ferromagnetism and Superconductivity with Relativity
Hanqing Liu, Emilie Huffman, Shailesh Chandrasekharan +1
We study a quantum phase transition from a massless to massive Dirac fermion phase in a new two-dimensional bipartite lattice model of electrons that is amenable to sign-free quant…
Qudit circuits with SU(d) symmetry: Locality imposes additional conservation laws
Iman Marvian, Hanqing Liu, Austin Hulse
Local symmetric quantum circuits provide a simple framework to study the dynamics and phases of complex quantum systems with conserved charges. However, some of their basic propert…
Hamiltonian models of lattice fermions solvable by the meron-cluster algorithm
Hanqing Liu, Shailesh Chandrasekharan, Ribhu K. Kaul
We introduce a half-filled Hamiltonian of spin-half lattice fermions that can be studied with the efficient meron-cluster algorithm in any dimension. As with the usual bipartite ha…
Quantum Critical Phenomena in an Fermion Chain
Hanqing Liu
We construct a fermionic lattice model containing interacting spin- fermions with an symmetry. In addition the model contains a chiral symmetry w…
Off-shell BCJ Relation in Nonlinear Sigma Model
Gang Chen, Shuyi Li, Hanqing Liu
We investigate relations among tree-level off-shell currents in nonlinear sigma model. Under Cayley parametrization, we propose and prove a general revised BCJ relation for even-po…
Note on off-shell relations in nonlinear sigma model
Gang Chen, Yi-Jian Du, Shuyi Li +1
In this note, we investigate relations between tree-level off-shell currents in nonlinear sigma model. Under Cayley parametrization, all odd-point currents vanish. We propose and p…