31 citations · 99 across the 12 of their papers we have counts for
12 papers
Quantum Algorithms based on the Block-Encoding Framework for Matrix Functions by Contour Integrals
Souichi Takahira, Asuka Ohashi, Tomohiro Sogabe +1
The matrix functions can be defined by Cauchy's integral formula and can be approximated by the linear combination of inverses of shifted matrices using a quadrature formula. In th…
Quantum algorithm for matrix functions by Cauchy's integral formula
Souichi Takahira, Asuka Ohashi, Tomohiro Sogabe +1
For matrix , vector and function , the computation of vector arises in many scientific computing applications. We consider the problem o…
Local unambiguous discrimination of symmetric ternary states
Kenji Nakahira, Kentaro Kato, Tsuyoshi Sasaki Usuda
We investigate unambiguous discrimination between given quantum states with a sequential measurement, which is restricted to local measurements and one-way classical communication.…
Optimal discrimination of optical coherent states cannot always be realized by interfering with coherent light, photon counting, and feedback
Kenji Nakahira, Kentaro Kato, Tsuyoshi Sasaki Usuda
It is well known that a minimum error quantum measurement for arbitrary binary optical coherent states can be realized by a receiver that comprises interfering with a coherent refe…
Generalized bipartite quantum state discrimination problems with sequential measurements
Kenji Nakahira, Kentaro Kato, Tsuyoshi Sasaki Usuda
We investigate an optimization problem of finding quantum sequential measurements, which forms a wide class of state discrimination problems with the restriction that only sequenti…
Upper and Lower Bounds on Optimal Success Probability of Quantum State Discrimination with and without Inconclusive Results
Kenji Nakahira, Tsuyoshi Sasaki Usuda, Kentaro Kato
We propose upper and lower bounds on the maximum success probability for discriminating given quantum states. The proposed upper bound is obtained from a suboptimal solution to the…