8 papers
Simulating dynamics of RLC circuits with a quantum differential-algebraic equations solver
Arkopal Dutt, Anirban Chowdhury, Kristan Temme +1
We introduce a quantum algorithm for simulating the dynamics of electrical circuits consisting of resistors, inductors and capacitors (aka RLC circuits) along with power sources. G…
Dissipative microcanonical ensemble preparation from KMS-detailed balance
Anirban N. Chowdhury, Samuel O. Scalet, Kunal Sharma
Stationary states of quantum many-body Hamiltonians are invariant under the Hamiltonian evolution. Besides ground and thermal states, this class includes microcanonical ensembles t…
Classical Estimation of the Free Energy and Quantum Gibbs Sampling from the Markov Entropy Decomposition
Samuel O. Scalet, Angela Capel, Anirban N. Chowdhury +4
We revisit the Markov Entropy Decomposition, a classical convex relaxation algorithm introduced by Poulin and Hastings to approximate the free energy in quantum spin lattices. We i…
Quantum Krylov Algorithm for Szegö Quadrature
William Kirby, Yizhi Shen, Daan Camps +3
We present a quantum algorithm to evaluate matrix elements of functions of unitary operators. The method is based on calculating quadrature nodes and weights using data collected f…
Quantum Approximate Counting with Additive Error: Hardness and Optimality
Mason L. Rhodes, Sam Slezak, Anirban Chowdhury +1
Quantum counting is the task of determining the dimension of the subspace of states that are accepted by a quantum verifier circuit. It is the quantum analog of counting the number…
Controlization Schemes Based on Orthogonal Arrays
Anirban Chowdhury, Ewout van den Berg, Pawel Wocjan
Realizing controlled operations is fundamental to the design and execution of quantum algorithms. In quantum simulation and learning of quantum many-body systems, an important subr…