منابع مشابه
Quantum Error Correction in correlated quantum noise
The superiority of quantum computation over conventional computation relies on the fact that a quantumbit (qubit) register can be in the superposition of a very large number of classical computational states. At the same time, maintaining coherence of this highly superpositional state poses also the main obstacle for the realization of a quantum computer. For a small number of qubits this diffi...
متن کاملQuantum Error-Correction Codes on Abelian Groups
We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.
متن کاملQuantum error correction of continuous-variable states against Gaussian noise
Continuous-variable quantum information protocols use quantum operations and measurements acting on states with continuous eigenvalue spectra to perform quantum information tasks such as quantum teleportation, quantum key distribution, and quantum processing [1]. An attraction of continuous-variable protocols is that many require only Gaussian states, operations, and measurements [2]—all of whi...
متن کاملEfficient Quantum Error Correction for Fully Correlated Noise
We investigate an efficient quantum error correction of a fully correlated noise. Suppose the noise is characterized by a quantum channel whose error operators take fully correlated forms given by σ x , σ ⊗n y and σ ⊗n z , where n > 2 is the number of qubits encoding the codeword. It is proved that Email addresses: [email protected] (Chi-Kwong Li), [email protected] (Mikio Nakahara), yt...
متن کاملHamiltonian Formulation of Quantum Error Correction and Correlated Noise
We analyze the long time behavior of a quantum computer running a quantum error correction (QEC) code in the presence of a correlated environment. Starting from a Hamiltonian formulation of realistic noise models, and assuming that QEC is indeed possible, we find formal expressions for the probability of a given syndrome history and the associated residual decoherence encoded in the reduced den...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2018
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.121.190501