4 papers · 1 filter
Optimal certification of constant-local Hamiltonians
Junseo Lee, Myeongjin Shin
We study the problem of certifying local Hamiltonians from real-time access to their dynamics. Given oracle access to for an unknown -local Hamiltonian and a full…
Collapses in quantum-classical probabilistically checkable proofs and the quantum polynomial hierarchy
Kartik Anand, Kabgyun Jeong, Junseo Lee
We investigate the structure of quantum proof systems by establishing collapse results that reveal simplifications in their complexity landscape. By extending classical theorems su…
Bounding quantum uncommon information with quantum neural estimators
Donghwa Ji, Junseo Lee, Myeongjin Shin +2
In classical information theory, uncommon information refers to the amount of information that is not shared between two messages, and it admits an operational interpretation as th…
High-dimensional private quantum channels and regular polytopes
Junseo Lee, Kabgyun Jeong
As the quantum analog of the classical one-time pad, the private quantum channel (PQC) plays a fundamental role in the construction of the maximally mixed state (from any input qua…