There are several reasons why fault-tolerant quantum computation is more important and more complicated than for classical computation. Furthermore, the protocol increases the relaxation time of the protected logical qubit by a factor of 2.7 over the relaxation times of the bare comprising qubits. Answer: (a) The probability that two bits are faulty is given, using the binomial probability distribution, by, and the probability of three faulty bits is P3 p3. An FPGA controller actively corrects errors as they are detected, achieving an average bit-flip detection efficiency of up to 91%. Here we use direct parity measurements to implement a continuous quantum bit-flip correction code in a resource-efficient manner, eliminating entangling gates, ancillary qubits, and their associated errors. The continuous measurements are monitored by an FPGA controller that actively corrects errors as they are detected.
EXPERIMENTAL QUANTUM ERROR CORRECTION FULL
Typically, quantum error correction is executed in discrete rounds, using entangling gates and projective measurement on ancillary qubits to complete each round of error correction. Random errors incurred during computation are one of the biggest obstacles to unleashing the full power of quantum computers. Here we use direct parity measurements to implement a continuous quantum bit-flip correction code in a resource-efficient manner, eliminating entangling gates, ancilla qubits, and their associated errors. The state of the qubits is then manipulated by a series of laser pulses resonant with the. Each ion represents a qubit in the 1 4 S1/2 ( mJ 1/2) and 0 3 D5/2 ( mJ 1/2) states.
A powerful method to suppress these effects is quantum error correction. The QEC protocol is realized in an experimental system consisting of a string of three 40 Ca + ions confined in a macroscopic linear Paul trap. The storage and processing of quantum information are susceptible to external noise, resulting in computational errors.
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