5 papers · 1 filter
Towards Optimal Quantum Estimators for State Frame Potential
Jinge Bao, Wang Fang, Yoshifumi Nakata +1
The state frame potential is a standard diagnostic of how closely a quantum state ensemble approximates Haar randomness. In this work, we study the problem of estimating the state…
Explicit decoders using fixed-point amplitude amplification based on QSVT
Takeru Utsumi, Yoshifumi Nakata
Reliably transmitting quantum information via a noisy quantum channel is a central challenge in quantum information science. While constructing a decoder is crucial to this goal, l…
Quantum algorithms for Uhlmann transformation
Takeru Utsumi, Yoshifumi Nakata, Qisheng Wang +1
Uhlmann's theorem is a central result in quantum information theory, which associates the closeness of two quantum states with that of their purifications. The theorem also well ch…
On Computational Complexity of Unitary and State Design Properties
Yoshifumi Nakata, Yuki Takeuchi, Martin Kliesch +1
We investigate unitary and state -designs from a computational complexity perspective. First, we address the problems of computing frame potentials that characterize (approximat…
Decoding general error correcting codes and the role of complementarity
Yoshifumi Nakata, Takaya Matsuura, Masato Koashi
Among various classes of quantum error correcting codes (QECCs), non-stabilizer codes have rich properties and are of theoretical and practical interest. Decoding non-stabilizer co…