REVIEW 5 cited by
The Complexity Geometry of a Single Qubit
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
Signed reviews
read the original abstract
The computational complexity of a quantum state quantifies how hard it is to make. `Complexity geometry', first proposed by Nielsen, is an approach to defining computational complexity using the tools of differential geometry. Here we demonstrate many of the attractive features of complexity geometry using the example of a single qubit, which turns out to be rich enough to be illustrative but simple enough to be illuminating.
Forward citations
Cited by 5 Pith papers
-
The Geometry of Quantum Complexity in Open Systems
Open-system quantum complexity is governed by a sub-Finslerian geometry whose curvature depends on the cost penalties for unitary and dissipative controls.
-
CFT Complexity and Penalty Factors
A submersion-based method turns weighted generator costs into state-complexity metrics for CFTs, giving analytic formulas in simple limits and constraints on which weight choices are viable.
-
Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
The paper's central claim, that a Horndeski-gravity residual entropy -ξ/6 identifies smooth-interior microstates and firewalls, is an unsupported interpretation of previously derived formulas.
-
Holographic Complexity as a Probe of Boundary Entropy in AdS/BCFT
Relative complexity in AdS/BCFT is claimed to equal boundary entropy log g divided by pi hbar, but the equality is built into the renormalization counterterm.
-
Reflections on Virasoro circuit complexity and Berry phase
A claimed identification of Virasoro circuit complexity with the Berry connection fails a basic consistency check for pure rotations.
Discussion (0). Continue with ORCID to comment.