7 papers · 1 filter
A General Theory of Multi-Resource Theories Involving Finite-Group Asymmetry
Yosuke Mitsuhashi, Hiroyasu Tajima
Resource theories provide a universal framework for quantifying properties of quantum states, such as entanglement, magic, athermality, and asymmetry, as resources under various co…
Exact Characterization of the Holevo Bound by a Quantum Fisher Information Family
Koji Yamaguchi, Hiroyasu Tajima
The quantum Cramér-Rao bound constrains the precision of parameter estimation through the symmetric logarithmic derivative quantum Fisher information (SLD QFI). It is asymptoticall…
Quantifying Symmetry Breaking with Metric Adjusted Quantum Geometric Tensors
Koji Yamaguchi, Hiroyasu Tajima
Quantifying properties of quantum states through the limits of their manipulation is a central goal of quantum resource theories. For symmetry breaking, the quantum geometric tenso…
Quantitative Wigner-Araki-Yanase Theorems for Unitary and Antiunitary Symmetries
Akihiro Hokkyo, Hiroyasu Tajima
Symmetry imposes fundamental constraints on quantum measurement and control. The Wigner-Araki-Yanase theorem and its quantitative extensions capture this restriction for continuous…
Universal tradeoff relations between resource cost and irreversibility of channels: General-resource Wigner-Araki-Yanase theorems and beyond
Hiroyasu Tajima, Koji Yamaguchi, Ryuji Takagi +1
Quantum technologies offer exceptional -- sometimes almost magical -- speed and performance, yet every quantum process costs physical resources. Designing next-generation quantum d…
Quantum geometric tensor determines the pure-state i.i.d. conversion rate in the resource theory of asymmetry for any compact Lie group
Koji Yamaguchi, Yosuke Mitsuhashi, Tomohiro Shitara +1
Quantifying physical concepts in terms of the ultimate performance of a given task has been central to theoretical progress, as illustrated by thermodynamic entropy and entanglemen…
The i.i.d. State Convertibility in the Resource Theory of Asymmetry for Finite Groups
Tomohiro Shitara, Yosuke Mitsuhashi, Hiroyasu Tajima
We identify exact and approximate conversion rates between i.i.d. pure states under covariant operations in the resource theory of asymmetry for symmetries described by finite grou…