Searcharxiv⌕ Search

arXiv subjects

Kseniia S. Chernova

Publications and source records attributed to Kseniia S. Chernova.

3 recordsLinked to original sources

Efficient computation of quantum time-optimal control

We present an approach to compute time-optimal control of a quantum system which combines quantum brachistochrone and Lax pair techniques and enables efficient investigation of large-scale quantum systems. We illustrate our method by finding the quantum speed limit for a single-particle excitation in a nearest-neighbor-coupled qubit lattice with switchable couplings and fixed sum of their squares. We obtain the solution for a finite system with up to 10 000 qubits and for the effectively infinite lattice closed into ring. As another application of our method, we derive the quantum speed limit for a lattice with time-independent couplings.

quant-ph↗

Time-optimal transfer of the quantum state in long qubit arrays

Recent technological advances have allowed the fabrication of large arrays of coupled qubits serving as prototypes of quantum processors. However, the optimal control of such systems is notoriously hard, which limits the potential of large-scale quantum systems. Here, we investigate a model problem of quantum state transfer in a large nearest-neighbor-coupled qubit array and derive an optimal control that simultaneously enables maximal fidelity and minimal time of the transfer.

quant-ph↗

Optimizing state transfer in a three-qubit array via quantum brachistochrone method

Quantum brachistochrone method has recently emerged as a technique allowing one to implement the desired unitary evolution operator in a physical system within the minimal time. Here, we apply this approach to the problem of time-optimal quantum state transfer in the array of three qubits with time-varying nearest-neighbor couplings and analytically derive the fastest protocol.

cond-mat.mes-hall↗