English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Computing finite temperature properties of a quantum many-body system is keyto describing a broad range of correlated quantum many-body physics fromquantum chemistry and condensed matter to thermal quantum field theories.Quantum computing with rapid developments in recent years has a huge potentialto impact the computation of quantum thermodynamics. To fulfill the potentialimpacts, it is crucial to design quantum algorithms that utilize thecomputation power of the quantum computing devices. Here we present a quantumkernel function expansion (QKFE) algorithm for solving thermodynamic propertiesof quantum many-body systems. In this quantum algorithm, the many-body densityof states is approximated by a kernel-Fourier expansion, whose expansionmoments are obtained by random state sampling and quantum interferometricmeasurements. As compared to its classical counterpart, namely the kernelpolynomial method (KPM), QKFE has an exponential advantage in the cost of bothtime and memory. In computing low temperature properties, QKFE becomesinefficient, as similar to classical KPM. To resolve this difficulty, wefurther construct a thermal ensemble and approaches the low temperature regimestep-by-step. For quantum Hamiltonians, whose ground states are preparable withpolynomial quantum circuits, THEI has an overall polynomial complexity. Wedemonstrate its efficiency with applications to one and two-dimensional quantumspin models, and a fermionic lattice. With our analysis on the realization withdigital and analogue quantum devices, we expect the quantum algorithm isaccessible to current quantum technology.

Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation