Non-Abelian topological order is a coveted state of matter with remarkable properties, including quasiparticles that can remember the sequence in which they are exchanged …
Quantum simulation traditionally relies on unitary dynamics, inherently imposing efficiency constraints on the generation of intricate entangled states. In principle, these limitations can …
The preparation of long-range entangled states using unitary circuits is limited by Lieb- Robinson bounds, but circuits with projective measurements and feedback (“adaptive …
Quantum systems evolve in time in one of two ways: through the Schrödinger equation or wavefunction collapse. So far, deterministic control of quantum many-body systems in the …
Long-range entanglement—the backbone of topologically ordered states—cannot be created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …
A fundamental distinction between many-body quantum states are those with short-and long- range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …
We consider the preparation of matrix product states (MPS) on quantum devices via quantum circuits of local gates. We first prove that faithfully preparing translation-invariant …
We explore the effect of decoherence on many-body mixed states from a purification perspective. Here, quantum channels map to unitary transformations acting on a purified …
We propose a general framework for using local measurements, local unitaries, and nonlocal classical communication to construct quantum channels, which can efficiently …