8 papers · 1 filter
Efficient Classical Simulation of Weakly Interacting Fermion Dynamics
Chu Zhao, Iman Marvian, Yu Tong
We consider the task of simulating the real-time dynamics of weakly interacting fermionic systems. In particular, we focus on computing the expectation value of a local observable…
Learning Hamiltonians in the Heisenberg limit with static single-qubit fields
Shrigyan Brahmachari, Shuchen Zhu, Iman Marvian +1
Learning the Hamiltonian governing a quantum system is a central task in quantum metrology, sensing, and device characterization. Existing Heisenberg-limited Hamiltonian learning p…
Optimal Qubit Purification and Unitary Schur Sampling via Random SWAP Tests
Shrigyan Brahmachari, Austin Hulse, Henry D. Pfister +1
The goal of qubit purification is to combine multiple noisy copies of an unknown pure quantum state to obtain one or more copies that are closer to the pure state. We show that a s…
Permutation-Invariant N-body gates via Tavis-Cummings Hamiltonian
Plato Deliyannis, Iman Marvian
Global control provides a promising route to implementing multi-qubit gates without individual qubit addressing. This is especially appealing for permutation-invariant (PI) gates,…
Unitary Designs from Random Symmetric Quantum Circuits
Hanqing Liu, Austin Hulse, Iman Marvian
In this work, we study distributions of unitaries generated by random quantum circuits containing only symmetry-respecting gates. We develop a unified approach applicable to all sy…
A framework for semi-universality: Semi-universality of 3-qudit SU(d)-invariant gates
Austin Hulse, Hanqing Liu, Iman Marvian
Quantum circuits with symmetry-respecting gates have attracted broad interest in quantum information science. While recent work has developed a theory for circuits with Abelian sym…