fault-tolerant quantum error correction
Flag fault-tolerant error correction with arbitrary distance codes
... general fault- tolerant quantum error correction protocol us- ing flag circuits for measuring stabilizers of ar- bitrary distance ...flag error correction beyond ...
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High-Threshold Fault-Tolerant Quantum Computation with Analog Quantum Error Correction
... implement fault-tolerant quantum computation with continuous variables, the Gottesman-Kitaev- Preskill (GKP) qubit has been recognized as an important technological ...existing ...
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Fault-tolerant error correction with the gauge color code
... a quantum computer are inherently vulnerable to ...developed quantum error-correcting codes to protect quantum information from ...in quantum resources remains an important and ongoing ...
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Extending quantum error correction: new continuous measurement protocols and improved fault tolerant overhead
... the error rate are of the same order of magnitude for this architecture is a problem for our error correction ...feedback correction protocol in such a ...the error rate could be made ...
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Fault-tolerant Quantum Computation with Realistic Error Models
... Z error will anticommute with the stabiliser generators of the two vertex checks it is adjacent to, therefore causing an excitation at each of these vertices, as shown in ...the error string in ...the ...
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Flag fault-tolerant error correction for cyclic CSS codes
... of fault tolerance has been developed to solve these ...theory, quantum gadgets are used to simulate the operations of ideal circuit elements such as quantum gate operation, state preparation, qubit ...
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Quantum Error Correcting Codes and Fault-Tolerant Quantum Computation over Nice Rings
... Quantum error correcting codes can protect the quantum information system against errors that are due to the ...a fault- tolerant quantum computing device, it is not enough to ...
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Fault tolerant quantum metrology
... use quantum Reed-Muller codes to retrieve more information about a single phase parameter being estimated in the presence of full-rank Pauli ...only error detection, as opposed to error ...
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Fault-tolerant quantum computing in the Pauli or Clifford frame with slow error diagnostics
... slow error diagnostics which applies broadly to all codes and universal gate ...the error frame before it propagates to the rest of the compu- ...active error correction, it is entirely ...
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Aspects of Fault-Tolerant Quantum Computation
... of fault-tolerant gates can also be realized in a small fixed stabilizer code by performing the logical gates in many steps with interspersed error correction ...of error ...
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Quantum Error Correction with Biased Noise
... our fault-tolerant circuits consist of Cli↵ord gates and measurements, we can always assume that the most harmful such fault would produce a Pauli Z error (or some product of Pauli Z errors on ...
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Stabilizer Codes and Quantum Error Correction
... a quantum error-correcting code and applying fault-toler- ant operations to it may or may not actually improve the basic error rate for the ...in error correction are themselves ...
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Novel Methods in Quantum Error Correction
... concatenated quantum error correcting codes, rather than state ...different quantum error correcting codes, with differing sets of transversal operations, in ...concatenated quantum ...
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D.5 Quantum error correction
... do fault-tolerant quantum ...impressively, fault-tolerance allow us to perform logical operations on en- coded quantum states, in a manner which tolerates faults in the underlying gate ...
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Information Amidst Noise: Preserved Codes, Error Correction, and Fault Tolerance in a Quantum World
... the error-correcting capabilities of the code that ensures good performance of the code provided not too many errors ...of quantum computation, it is particularly important for the design of ...
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Studies Of A Quantum Scheduling Algorithm And On Quantum Error Correction
... a quantum error correcting code uses a large number of qubits and quantum gates it becomes increasingly more difficult to carry out the encoding and syndrome measurements during a single ...
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Performance of topological codes for quantum error correction
... Fast Fault-Tolerant Decoder for Qubit and Qudit Surface Codes The surface code is one of the most promising candidates for combating errors in large scale fault-tolerant quantum ...A ...
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Roads towards fault-tolerant universal quantum computation
... various quantum technology platforms, such as ion-traps 1,2 or superconducting qubits 3 ...large quantum algorithms de- signed for fault-free ...through quantum error correction. ...
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Nonadaptive fault tolerant verification of quantum supremacy with noise
... for quantum supremacy that only requires the verifier to prepare single- qubit ...ing fault tolerance that preserves the non- ...on error correction with the same threshold as universal ...
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Quantum error correction protects quantum search algorithms against decoherence
... general, quantum turbo codes 23–25 , quantum low density parity check codes 26–28 and quantum polar codes 29,30 , require a long stream of information qubits for achieving their full ...each ...
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