Unified and Generalized Approach to Quantum Error Correction David Kribs, Raymond Laflamme,
... the passive error prevention methods of ‘‘decoherence-free subspaces’’ [3–5] and ‘‘noiseless subsystems’’ [6 –8]. We then demonstrate how the latter scheme admits a natural generalization and study the necessary and sufficient conditions leading to such generalized noiseless subsystems. This general ...
... the passive error prevention methods of ‘‘decoherence-free subspaces’’ [3–5] and ‘‘noiseless subsystems’’ [6 –8]. We then demonstrate how the latter scheme admits a natural generalization and study the necessary and sufficient conditions leading to such generalized noiseless subsystems. This general ...
Experimental Implementation of Encoded Logical Qubit Operations
... states. This requirement makes the implementation of quantum computing much more challenging than for classical devices. Reliable quantum computing [3] is possible, in principle, provided quantum error correction (QEC) schemes can be implemented with a fidelity above a certain threshold [1,4–7]. Eve ...
... states. This requirement makes the implementation of quantum computing much more challenging than for classical devices. Reliable quantum computing [3] is possible, in principle, provided quantum error correction (QEC) schemes can be implemented with a fidelity above a certain threshold [1,4–7]. Eve ...
On the minimum quantum dimension for a given quantum correlation
... The main idea: the second group of POVMs are used to calculate the value of the CHSH inequality: ◦ If the value is , the shared states must be EPR ◦ Eve cannot be entangled to any qubit of EPR ◦ If the value is smaller than , start it over ...
... The main idea: the second group of POVMs are used to calculate the value of the CHSH inequality: ◦ If the value is , the shared states must be EPR ◦ Eve cannot be entangled to any qubit of EPR ◦ If the value is smaller than , start it over ...
6. Edge Modes
... At first glance it may seem like this is quite an esoteric part of the story. However, there’s a surprise in store. The edge modes know much more about the quantum Hall states than you might naively imagine. Not only do they o↵er the best characterisation of these states, but they also provide a lin ...
... At first glance it may seem like this is quite an esoteric part of the story. However, there’s a surprise in store. The edge modes know much more about the quantum Hall states than you might naively imagine. Not only do they o↵er the best characterisation of these states, but they also provide a lin ...
QUANTUM ERROR CORRECTING CODES FROM THE
... expanded upon in the discussion below. We have stated the problem in this form, because it lends itself to consideration as a “compression problem”. Of course, this process is still somewhat abstract. In particular, step (ii) will typically require taking infinitely many intersections. Nevertheless, ...
... expanded upon in the discussion below. We have stated the problem in this form, because it lends itself to consideration as a “compression problem”. Of course, this process is still somewhat abstract. In particular, step (ii) will typically require taking infinitely many intersections. Nevertheless, ...
Quantum Computer - Physics, Computer Science and Engineering
... 3. Entanglement – 2 or more Qubits emerge from an interaction in a definite joint quantum state that cannot be expected in terms of a product of definite individual quantum states: |f> = |0 1> + |1 0> ...
... 3. Entanglement – 2 or more Qubits emerge from an interaction in a definite joint quantum state that cannot be expected in terms of a product of definite individual quantum states: |f> = |0 1> + |1 0> ...
Spin-based quantum computing using electrons on liquid helium
... defects. Such defects will have their spins rapidly relaxed by the metallic layers, reducing their effect on the qubits. If a small number of localized areas are affected, those portions could be replaced by redundant structures in another region of the device. Another extrinsic source of decoherenc ...
... defects. Such defects will have their spins rapidly relaxed by the metallic layers, reducing their effect on the qubits. If a small number of localized areas are affected, those portions could be replaced by redundant structures in another region of the device. Another extrinsic source of decoherenc ...
