REVIEW 4 cited by
Quantum Pseudoentanglement
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Entanglement is a quantum resource, in some ways analogous to randomness in classical computation. Inspired by recent work of Gheorghiu and Hoban, we define the notion of "pseudoentanglement'', a property exhibited by ensembles of efficiently constructible quantum states which are indistinguishable from quantum states with maximal entanglement. Our construction relies on the notion of quantum pseudorandom states -- first defined by Ji, Liu and Song -- which are efficiently constructible states indistinguishable from (maximally entangled) Haar-random states. Specifically, we give a construction of pseudoentangled states with entanglement entropy arbitrarily close to $\log n$ across every cut, a tight bound providing an exponential separation between computational vs information theoretic quantum pseudorandomness. We discuss applications of this result to Matrix Product State testing, entanglement distillation, and the complexity of the AdS/CFT correspondence. As compared with a previous version of this manuscript (arXiv:2211.00747v1) this version introduces a new pseudorandom state construction, has a simpler proof of correctness, and achieves a technically stronger result of low entanglement across all cuts simultaneously.
Forward citations
Cited by 4 Pith papers
-
Practical Tests and Witnesses of Fermionic non-Gaussianity
Introduces practical witnesses of fermionic non-Gaussianity via antiflatness from covariance matrices, with two efficient measurement protocols, a purity-corrected version for mixed states, and experimental results on...
-
Shallow quantum circuit for generating extremely low-entangled approximate state designs
Approximate state t-designs can be built from low-entanglement states via random injective maps, but the claimed tight lower bound on magic fails for small t since stabilizer states form an exact 2-design with zero magic.
-
Quantifying mixed-state entanglement via partial transpose and realignment moments
The p4-negativity, a fourth-moment quantity measurable with four copies of a state, lower-bounds the partial-transpose negativity and suffices to determine the Haar-random-state entanglement phase diagram.
-
Emergent Holographic Spacetime from Quantum Information
Takayanagi's essay outlines a research program in which holographic spacetime, including the time direction, may emerge from entanglement, complexity, and complex-valued pseudo-entropy, without presenting a new derivation.
Discussion (0). Sign in to comment.