43 research outputs found
Hawking effects on the entanglement near the Schwarzschild black hole
Hawking radiation effects on an entangled pair near the event horizon of a
Schwarzschild black hole are investigated. The Hawking radiation was found to
degrade both the quantum coherence of the entangled state and the mutual
correlations of the entangled pair. When the black hole evaporated completely,
the measure of entanglement vanished, but the classical correlation between the
entangled pair still remained.Comment: Journal of Korean Physical Society, accepted for publicatio
T-count optimization of approximate quantum Fourier transform
The quantum Fourier transform (QFT) is a ubiquitous quantum operation that is
used in numerous quantum computing applications. The major obstacle to
constructing a QFT circuit is that numerous elementary gates are required.
Among the elementary gates, T gates dominate the cost of fault-tolerant
implementation. Currently, the smallest-known T-count required to construct an
n-qubit QFT circuit approximated to error O(\varepsilon) is
~8nlog_2(n/\varepsilon). Moreover, the depth of T gates (T-depth) in the
approximate QFT circuit is ~2nlog_2(n/\varepsilon). This approximate QFT
circuit was constructed using Toffoli gates and quantum adders. In this study,
we present a new n-qubit QFT circuit approximated to error O(\varepsilon). Our
approximate QFT circuit shows a T-count of ~4nlog_2(n/\varepsilon) and a
T-depth of ~nlog_2(n/\varepsilon). Toffoli gates, which account for half of the
T-count in the approximate QFT circuit reported in the previous study, are
unnecessary in our construction. Quantum adders, which dominate the leading
order term of T-depth in our approximate QFT circuit, are arranged in parallel
to reduce T-depth