5 papers
Resource Theory of Aquaternionicity: Every Pure State Is a Replicable Resource for Exact Simulation of Arbitrary Quantum Operations
Hayato Arai, Yasuaki Nakayama
An alchemical resource theory admits a nonfree state that can be exactly replicated by free operations and whose finitely many copies enable exact simulation of arbitrary quantum i…
Inverse Problem of Alchemical Resource Theory: Replication and Universal Simulation Single Out Imaginarity and Parity Asymmetry
Yasuaki Nakayama, Hayato Arai
Quantum resource theories usually begin with a prescribed free structure and ask what tasks become possible when a resource is supplied. We study the inverse problem of alchemical…
Circuit Optimization for Universality Transformation
Yasuaki Nakayama, Yuki Takeuchi, Seiseki Akibue
It is known that a computationally universal gate set can be transformed to a strictly universal one using one maximally imaginary state and…
Uniqueness of imaginarity-assisted exact transformation from real orthogonal operations to arbitrary unitary operations
Yasuaki Nakayama, Yuki Takeuchi, Seiseki Akibue
The computational universality with an elementary gate set can be transformed to the strict universality by using a maximally imaginary state and some non…
The Petz (lite) recovery map for scrambling channel
Yasuaki Nakayama, Akihiro Miyata, Tomonori Ugajin
We study properties of the Petz recovery map in chaotic systems, such as the Hayden-Preskill setup for evaporating black holes and the SYK model. Since these systems exhibit the ph…