ELFT HÍRADÓ

[Janos Asboth <asboth.janos AT ttk.bme.hu>]

Meghívó

BME Elméleti Fizika Szeminárium,

máj. 23 péntek 10h15,
1111 Bp., Budafoki út 8., BME FIII. magasföldszint 1, szemináriumi szoba

Márton Áron (RWTH Aachen):
Lattice surgery-based logical state teleportation via noisy links

For planar architectures surface code-based quantum error correction is one
of the most promising approaches to fault-tolerant quantum computation.
This is partially due to the variety of fault-tolerant logical protocols
that can be implemented in two dimensions using local operations. One such
protocol is the lattice surgery-based logical state teleportation, which
transfers a logical quantum state from an initial location on a quantum
chip to a target location through a linking region of qubits. This protocol
serves as a basis for higher-level routines, such as the entangling CNOT
gate or magic state injection. In this work [1] we investigate the
correctability phase diagram of this protocol for distinct error rates
inside the surface code patches and within the linking region. We adopt
techniques from statistical physics to describe the numerically observed
crossover regime between correctable and uncorrectable quantum error
correction phases, where the correctability depends on the separation
between the initial and target locations. We find that inside the crossover
regime the correctability-threshold lines decay as a power law with
increasing separation, which we explain accurately using a finite-size
scaling analysis. Our results indicate that the logical state teleportation
protocol can tolerate much higher noise rates in the linking region
compared to the bulk of the surface code patches, provided the separation
between the positions is relatively small.

[1] Á Márton, L Colmenarez, L Bödeker, M Müller: "Lattice surgery-based
logical state teleportation via noisy links", arXiv:2504.15747

Minden érdeklődőt szeretettel várunk.
Asbóth János,
 szemináriumi koordinátor