Two bits is called the syndrome, and it tells us in which physical qubit the Both of the ancillary qubits are flipped for both |100⟩ and |011⟩.If we received the following logical qubit.
#Types of quantum error code#
▫ The code and call each member of C a codeword.Įrror syndrome correction Phase in bit-flip QECC We borrow terminologies from classicalĮrror correcting code (ECC) and call the set The state |ψ⟩L is called the logical qubit, while eachĬonstituent qubit is called the physical qubit. We use this fact to triplicate the basis vectors as ▫ Therefore, it duplicates the control bit j ∈ when the initial target bit is set ▫ Let us recall that the action of a CNOT gate is If there is a bit information, it can be copiedīit-flip Quantum Error Correction Code (QECC) ▫ How continuous errors are corrected in quantum ▫ There are some type errors in quantum computing like ▫ No-cloning theorem prevents repetition. ▫ Measurement of error destroys quantum data. The problems for Quantum error correction code Lead to measurement errors and will accumulate unless removed. Leakage errors not only spread additional errors to other qubits, but also.Leakage error occurs when a qubit leaves the defined computational.▫ Y error (Y Pauli operator (𝜎𝑦)): Y=ZX ▫ Phase-flip error (Z Pauli operator (𝜎𝑧)):
▫ Bit-flip error (X Pauli operator (𝜎𝑥)): Noise acts on qubits via the application of one of the operators I, X, Y, Z. The effect of noise on a single qubit is described by saying that quantum.Mixed state via interactions with the environment. This process is called decoherence whereby a pure state is turned into a.This interaction inevitably alters the state of the quantum system, whichĬauses loss of information encoded in the system.In reality, a quantum system that is not closed system is always in.▫ A qubit in superposition is in both of the states at the same time with probabilities ▫ Where α and β are complex numbers and are called quantum amplitudes, In quantum computing the information is encoded in Quantum bits.Lov Grover (1996) invents quantum database search.To factor very large numbers in polynomial time. Peter Shor (1994) came up with a quantum algorithm.Machine, showing that quantum circuits are universal. David Deutsch (1985) developed the quantum Turing.Proposed independently the concept of Quantum Yuri Manin(1980) and Richard Feynman (1981).Potential uses and solve problems that we can’t even Not only is this expected to make quantum computersįaster and more efficient than even the most powerfulĬurrent supercomputer, it’s thought they could have.Google announced it has a quantum computer that isġ00 million times faster than any classical computer.Quantum phenomena like superposition, quantum A quantum computer is a machine that relies on.Phase-flip Quantum Error Correction Code.Thus, this talk will briefly provide quantum error models.įault-tolerance Quantum computation and Quantum Error Correction As the location of leakage errors is unknown, these can damage even more the quantum computations. In addition to Pauli errors, there is another error named leakage errors that occur when a qubit leaves the defined computational subspace. The overall effect of noise is modeled in terms of a set of Pauli operators and the identity acting on the physical qubits (bit flip, phase flip and a combination of bit and phase flips). Therefore, quantum error correction (QEC) and fault-tolerance protocol will be essential for running quantum algorithms on large-scale quantum computers. However, they are challenging to build a full-scale quantum computer because of their increased susceptibility to errors due to decoherence and other quantum noise. These companies try to construct real quantum computers in order to exploit their theoretical preferences over today’s classical computers in practical applications. The multinational companies in the world have been obtaining impressive advances in all areas of quantum technology during the last two decades. Quantum computing has become a noteworthy topic in academia and industry.
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