Efficient Preparation of Dicke States

Area of Science:

• Quantum Information Science
• Quantum Computing
• Atomic Physics

Background:

• Dicke states are crucial entangled states for quantum information processing.
• Previous methods for preparing Dicke states were limited in efficiency for large systems or specific state types.

Purpose of the Study:

• To present a novel algorithm for preparing Dicke states with improved efficiency.
• To overcome limitations of prior algorithms in terms of depth and width.

Main Methods:

• Utilizing midcircuit measurement and feedback.
• Employing global projective measurements and adaptive global rotations.
• Algorithm designed for efficient implementation in cavity QED systems.

Main Results:

• Efficient preparation of Dicke states with polylogarithmically many ancillae and polylogarithmic depth.
• Overcomes limitations of prior work for low-weight Dicke states.
• Demonstrates efficient implementation in cavity QED with logarithmic time and zero ancillae.

Conclusions:

• The developed algorithm offers a significant advancement in preparing complex entangled states.
• Provides a practical and efficient method for Dicke state preparation in quantum computing and cavity QED.
• Opens new avenues for scalable quantum information processing.