Character Complexity: A Novel Measure for Quantum Circuit Analysis
The introduction of character complexity marks a significant leap forward in our understanding of the intricacies of quantum computation. By bridging the gap between the abstract mathematical world of group representation theory and the concrete realm of quantum circuits, this work provides a powerful new framework for analyzing, optimizing, and understanding the true potential of quantum ...A general theory of quantum codes connecting quantum ... - Nature
网页2 天之前 · A key insight that has propelled this work is the connection between the AQEC capability of generalized quantum codes and quantum circuit complexity, a notion of …
Classification and transformations of quantum circuit …
网页2 天之前 · Quantum computers use the principles of quantum mechanics, like quantum superposition, to perform complex calculations faster than classical computers for …
Linear growth of quantum circuit complexity | Nature Physics
网页2022年3月28日 · Here we investigate how the complexity of these random quantum circuits increases by considering how to construct a unitary operation from Haar-random …
Circuit complexity of quantum access models for …
网页2024年4月23日 · We benchmark the circuit complexity of a given quantum circuit with three quantities: total number of elementary gates, total qubit number (including data qubits and ancillary qubits), and...
Complexity of Quantum Circuits via Sensitivity, Magic, and …
网页2024年6月23日 · Quantum circuit complexity—a measure of the minimum number of gates needed to implement a given unitary transformation—is a fundamental concept in …
[2106.05305] Linear growth of quantum circuit complexity - arXiv.org
网页2021年6月9日 · Linear growth of quantum circuit complexity. Quantifying quantum states' complexity is a key problem in various subfields of science, from quantum computing …
PRX Quantum 2, 030316 (2021) - Models of Quantum Complexity …
网页2021年7月29日 · This article connects quantum complexity to unitary k-designs and proves that local random quantum circuits have linear complexity growth. It also discusses …
[2208.06306] Wasserstein Complexity of Quantum Circuits - arXiv.org
网页2022年8月12日 · This quantity, known as the quantum circuit complexity, is a fundamental property of quantum evolutions that has widespread applications in many fields, including …
网页The circuit model of quantum computation provides a conve-nient way to quantify quantum complexity—namely, the quantum complexity of a Boolean function is the minimal size …