Seungwoo Lee

Resource-efficient algorithm for estimating the trace of quantum state powers

2025 · Quantum

Estimating the trace of quantum state powers, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>Tr</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>&amp;#x03C1;</mml:mi><mml:mi>k</mml:mi></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>, for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>k</mml:mi></mml:math> identical quantum states is a fundamental task with numerous applications in quantum information processing, including nonlinear function estimation of quantum states …

Trotter error mitigation by error profiling with shallow quantum circuit

2025 · arXiv (Cornell University)

Understanding the dynamics of quantum systems is crucial in many areas of physics, but simulating many-body systems presents significant challenges due to the large Hilbert space to navigate and the exponential growth of computational overhead. …