Pseudoentanglement: Hiding Quantum Entanglement in Efficiently Constructible States

Explore a thought-provoking lecture on the concept of pseudoentanglement delivered by Soumik Ghosh from the University of Chicago. Delve into the intriguing question of whether entanglement is an efficiently observable quantity in quantum systems. Examine the newly defined notion of "pseudoentanglement" and its implications for quantum cryptography. Discover how ensembles of efficiently constructible quantum states can hide their entanglement entropy, leading to the conclusion that no efficient algorithm exists for measuring entanglement in unknown quantum states under standard cryptographic assumptions. Investigate the applications of this construction in areas such as property testing and holography. Learn about recent advancements in "public key" pseudoentanglement and their implications for quantum security. Uncover the existence of local Hamiltonians with pseudoentangled ground states. Gain insights into cutting-edge research based on arXiv:2211.00747 and arXiv:2311.12017 in this one-hour presentation from the Simons Institute's series on Quantum Complexity, covering topics like Quantum PCP, Area Laws, and Quantum Gravity.