Maximal stabilizer Rényi entropy for two-qutrit states is ln(81/17), achieved at 18 degenerate maxima; a general prime-d formula ln[d⁴/(2d²−1)] is conjectured and verified for d=2,3,5.
A universal qudit quantum processor with trapped ions
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
Today's quantum computers operate with a binary encoding that is the quantum analog of classical bits. Yet, the underlying quantum hardware consists of information carriers that are not necessarily binary, but typically exhibit a rich multilevel structure, which is artificially restricted to two dimensions. A wide range of applications from quantum chemistry to quantum simulation, on the other hand, would benefit from access to higher-dimensional Hilbert spaces, which conventional quantum computers can only emulate. Here we demonstrate a universal qudit quantum processor using trapped ions with a local Hilbert space dimension of up to 7. With a performance similar to qubit quantum processors, this approach enables native simulation of high-dimensional quantum systems, as well as more efficient implementation of qubit-based algorithms.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
A frustrated Z6 clock chain has decoupled Ising-Potts multicritical points and a terminating Z6 parafermion multicritical point far from integrability.
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
Experimental demonstration that two copies of a biseparable three-qubit state exhibit genuine multipartite entanglement when combined on a trapped-ion device.
citing papers explorer
-
Analytical Landscape of Maximal Magic for Two-Qutrit States and Beyond
Maximal stabilizer Rényi entropy for two-qutrit states is ln(81/17), achieved at 18 degenerate maxima; a general prime-d formula ln[d⁴/(2d²−1)] is conjectured and verified for d=2,3,5.
-
Parafermionic and decoupled multicritical points in a frustrated $\mathbb{Z}_6$ clock chain
A frustrated Z6 clock chain has decoupled Ising-Potts multicritical points and a terminating Z6 parafermion multicritical point far from integrability.
-
Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
-
Experimental verification of multi-copy activation of genuine multipartite entanglement
Experimental demonstration that two copies of a biseparable three-qubit state exhibit genuine multipartite entanglement when combined on a trapped-ion device.