Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session A58: Quantum Measurements, Channels, and Resource Theories
8:00 AM–10:48 AM,
Monday, March 6, 2023
Room: Room 302
Sponsoring
Unit:
DQI
Chair: Gregory Bentsen, Brandeis University
Abstract: A58.00004 : Power of sequential protocols in hidden channel discrimination
8:36 AM–8:48 AM
Presenter:
SHO SUGIURA
(NTT Research, Inc.)
Authors:
SHO SUGIURA
(NTT Research, Inc.)
Arkopal Dutt
(Massachusetts Institute of Technology MIT)
Sina Zeytinoglu
(NTT Research / Harvard University)
William J Munro
(NTT Basic Research Labs)
Isaac L Chuang
(Massachusetts Institute of Technology)
However, quantum coherent measurements are often made under much stricter restrictions than those typically assumed in QCD. For example, in quantum non-demolition measurements, a physical system H is not directly measured by positive operator-valued measurement. Instead, the measurement is done by a measurement system that has limited unitary interaction with H. Here, the physical system is hidden in the sense that it cannot be measured directly, and it is not clear whether the same error probability limits and optimal protocols applicable to conventional QCD are achievable on hidden systems.
In this talk, we propose Hidden QCD, a QCD problem in which the queries involving initial state, quantum operations, and measurements to the hidden system are all subject to experimentally-relevant restrictions. By studying parallel, 1-qubit sequential, and multi-shot protocols, we show that the sequential use of channels is essential in Hidden QCD. For the parallel and multishot protocols of depth one, it is impossible to succeed in channel discrimination. In the sequential protocol, by contrast, the error probability can be reduced to zero for a sufficient number of queries N to the channel. Moreover, we can accomplish Hidden QCD with a number of queries N that scales with the desired error probability at the Heisenberg limit (faster than the standard quantum limit). Our results are surprising in that the 1-qubit sequential protocol is superior to parallel protocol under experimentally-relevant restrictions and can even saturate quantum limits.
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