6533b7dbfe1ef96bd1271621
RESEARCH PRODUCT
Magic informationally complete POVMs with permutations
Michel PlanatZafer Gediksubject
1003permutation groups159informationally complete povmsFOS: Physical sciences01 natural sciences157[SPI.MAT]Engineering Sciences [physics]/Materialslaw.inventionCombinatorics81P50 81P68 81P13 81P45 20B05Permutationlaw0103 physical sciences1009[SPI.NANO]Engineering Sciences [physics]/Micro and nanotechnologies/Microelectronics010306 general physicslcsh:ScienceEigenvalues and eigenvectorsQuantum computer[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]PhysicsQuantum Physics120Multidisciplinary010308 nuclear & particles physicsPhysicsMagic (programming)Q Science (General)16. Peace & justiceKochen–Specker theoremProjectorfinite geometryPauli groupquantum contextualitylcsh:QPreprintmagic statesQuantum Physics (quant-ph)Research Articledescription
Eigenstates of permutation gates are either stabilizer states (for gates in the Pauli group) or magic states, thus allowing universal quantum computation [M. Planat and Rukhsan-Ul-Haq, Preprint 1701.06443]. We show in this paper that a subset of such magic states, when acting on the generalized Pauli group, define (asymmetric) informationally complete POVMs. Such IC-POVMs, investigated in dimensions $2$ to $12$, exhibit simple finite geometries in their projector products and, for dimensions $4$ and $8$ and $9$, relate to two-qubit, three-qubit and two-qutrit contextuality.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |