Toric Code

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Toric Code on a torus Black dots show the positions of the Toric Code

Toric Code Reveals New Topological Phases HallLike States

A d 9 toric code showing the basic operations Circles represent

The same lattice as Fig 4 but with the mapping to the toric code

3 Phase diagram of the toric code in a longitudinal magnetic field The

Left toric code for seven qubits a Qubits represented by circles

Qualitative phase diagram of the toric code with x and z magnetic field

The toric code lattice with qubits at the vertices of a square lattice

PDF Phase transition in a noisy Kitaev toric code model

A schematic representation of the toric code model The dots represent

The two dual PEPS representations of the toric code ground state a

Kitaev toric code Each link is associated with a code qubit The code

An example for the 162 2 9 toric code Download Scientific Diagram

Topological order and the toric code TU Delft OCW

Threedimensional doubled toric code compare to 2d system in Fig 1

The toric code defined for a general lattice structure The plaquette

Topological surface code and toric code states using mobile ancilla

Illustration of the toric code model on a square lattice Circles

$The toric code model with ${L}_{w}={L}_{h}=8$ L w = L h = 8 > . A blue ...$

The toric code model with LwLh8 L w L h 8 A blue

Schematic spectrum of the toric code Hamiltonian The ground state is

a The toric code model can be defined on the square lattice

The toric code and the color code in two dimensions a The toric code

D 3 extension of Kitaevs Toric code Model On each bond ij there

Topological Order on the Lattice The Toric Code Ruben Verresen YouTube

Breakdown of a Z2 topological phase the toric code model in a

Toric code generation and manipulation a Abstract representation of a

Toric code with boundaries of two types a transparent domain wall the

Operators in the toric code on the square lattice Blue and red links

Representation of stabilizer generators on an L 5 toric code lattice

a The primal lattice of the toric code with qudits depicted by black

a The toric code model on a square lattice In blue is an example of

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The interaction terms of the toric code Hamiltonian defined on a square

A d 5 toric code with rings indicating the physical qubits and grey

a Illustration of the toric code model b The minimal unit of the

a Toric code defined on 2d periodic lattice Physical qubits stay on

The toric code is defined on a 2D square lattice The red dot is a

Threedimensional toric code in a system with open boundary conditions

Illustration of a lattice of the toric code model the links spanned by

Phase diagram of the modified toric code model The field strength

The toric code lattice with qubits at the vertices of a square lattice

The toric code lattice Qubits shown by white points are arranged on

Mapping of the toric code from a square lattice Σ to a honeycomb ...

Mapping of the toric code from a square lattice to a honeycomb

1 The toric code is defined in terms of square lattice of surface A

Distance of Kitaevs toric code Download Scientific Diagram

The toric code defined for a general lattice structure The plaquette

1 The toric code model The elementary degrees of freedom are SU2

Threedimensional toric code in a system with open boundary conditions

Accuracy in the ground state energy of the deformed toric code in a 4

At each round the superlattice supports an embedded toric code state

Toric code on the honeycomb superlattice For the torus geometry CX1

The terms in the 2D toric code Hamiltonian The black lines are the

a The bulk of a toric code ground state is measured in random Pauli

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Figure 2 from Phase diagram of the toric code model in a parallel

Quantum phase diagram of the 3D toric code in a uniform magnetic field

Each parallelogram is a Z2 Toric Code copy i A flux from the

Quantum phase diagram of the 2D toric code in a uniform magnetic field

The Toric code lattice with subsystem partitions as skeletal regions

Boundary conditions of the parton groundstate of toric code on

Operators in the toric code on the square lattice Blue and red links

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Left column the list of symmetries of the toric code decoder and their

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a The primal lattice of the toric code with qudits depicted by black

A domain wall and twist in two layers of toric code which corresponding

The figure shows the structure of the Toric Code and the pairing of

An example for the 162 2 9 toric code Download Scientific Diagram

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Noncontractible loops on the toric code lattice Each loop contains 2L

Toric code with qubits on the vertices Download Scientific Diagram

The toric code and the color code in two dimensions a The toric code

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a Tensor of the toric code which is Z s Z s for physical index s

The toric code Each edge of the lattice represents a qubit

The lattice representations of rotated surface and toric codes a L

Different descriptions of the 3D toric code a Twocoloring of the

simple phase transitions i Ising twist inside Z2 Toric code ii

a String operators in the Z 3 toric code t Hooft lines and t Hooft

Figure 3 from A pedagogical overview on 2D and 3D Toric Codes and the

Figure 2 from A pedagogical overview on 2D and 3D Toric Codes and the

The toric code Each edge of the lattice represents a qubit

aToric code model on a square lattice with OBC where spins locate on

The Toric Code Qutbis live on edges on the bonds Periodic boundary

a A vertex and b a plaquette taken from the lattice of the toric

toric code model

Figure 10 from A pedagogical overview on 2D and 3D Toric Codes and the

Check operators of the toric code Each plaquette operator is a tensor

Spherical and Hyperbolic Toric TopologyBased Codes On Graph Embedding

a The lattice of the L 2 1 L rotated surface code with L

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Figure 1 from Ising order parameter and topological phase transitions

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