Enhancement of non-Stabilizerness within Indefinite Causal Order
- URL: http://arxiv.org/abs/2311.15494v1
- Date: Mon, 27 Nov 2023 02:35:48 GMT
- Title: Enhancement of non-Stabilizerness within Indefinite Causal Order
- Authors: Yin Mo, Chengkai Zhu, Zhiping Liu, Mingrui Jing, and Xin Wang
- Abstract summary: In this work, we explore some intriguing phenomena regarding the non-stabilizerness of a circuit when a Quantum SWITCH structure is employed.
This structure is a novel quantum construct that enables quantum states to pass through operations in a superposition of different orders.
- Score: 6.612068248407539
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In the field of quantum computation, the non-stabilizerness of a quantum
circuit is crucial for understanding and quantifying quantum speed-up. In this
work, we explore some intriguing phenomena regarding the non-stabilizerness of
a circuit when a Quantum SWITCH structure is employed. This structure is a
novel quantum construct that enables quantum states to pass through operations
in a superposition of different orders and has shown superiority in numerous
tasks over circuits with a definite causal order. Firstly, we discover that the
completely stabilizer-preserving operations, which cannot generate magic states
under standard conditions, can be transformed into a resourceful operation
capable of generating magic states when processed by the Quantum SWITCH.
Secondly, when considering the effects of noisy channels on operations, we
observe that while the non-stabilizerness of each path may be annihilated,
their superposition could still preserve the non-stabilizerness of the
operation. These findings reveal unique properties brought by the Quantum
SWITCH and open further avenues in future research on magic resources of
general quantum architecture.
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