REF2
									
... and the receiver Bob. The basic motivation is that quantum states code quantum information — called qubits in the case of two-dimensional Hilbert spaces — and that quantum information allows tasks to be performed that could only be achieved far less efficiently, if at all, using classical informatio ...
                        	... and the receiver Bob. The basic motivation is that quantum states code quantum information — called qubits in the case of two-dimensional Hilbert spaces — and that quantum information allows tasks to be performed that could only be achieved far less efficiently, if at all, using classical informatio ...
									Characterizing the Performance Effect of Trials and Rotations in
									
... algorithms. Intuitively, QPE allows quantum algorithms to find the hidden structure in certain kinds of problems. In particular, Shor’s well-known algorithm for factoring the product of two primes uses QPE. Simulation algorithms, such as Ground State Estimation (GSE) for quantum chemistry, also use ...
                        	... algorithms. Intuitively, QPE allows quantum algorithms to find the hidden structure in certain kinds of problems. In particular, Shor’s well-known algorithm for factoring the product of two primes uses QPE. Simulation algorithms, such as Ground State Estimation (GSE) for quantum chemistry, also use ...
									Current State of Quantum Computing
									
... especially when the software is doing a lot of things at the same time. The parallel nature of quantum computing also requires new design patterns that enforce consistency, which could result in a major rethinking in software design. ...
                        	... especially when the software is doing a lot of things at the same time. The parallel nature of quantum computing also requires new design patterns that enforce consistency, which could result in a major rethinking in software design. ...
									Fault-Tolerant Quantum Computation and the Threshold Theorem
									
... Before discussing how to perform fault-tolerant operations, it is nice to see where all of our discussion is heading. Suppose that we have constructed a fault-tolerant set of operations (gates, preparation, measurement, error correction) for a quantum error correcting code. In such a construction, i ...
                        	... Before discussing how to perform fault-tolerant operations, it is nice to see where all of our discussion is heading. Suppose that we have constructed a fault-tolerant set of operations (gates, preparation, measurement, error correction) for a quantum error correcting code. In such a construction, i ...
									Codes and designs for quantum error correction
									
... logical bits into physical bits, where is the length and is the dimension of the code. The parameter is the minimum distance of the code and ensures that up to errors can be corrected. Analogously, an quantum error-correcting code of length , dimension , and distance encodes -qubit information into ...
                        	... logical bits into physical bits, where is the length and is the dimension of the code. The parameter is the minimum distance of the code and ensures that up to errors can be corrected. Analogously, an quantum error-correcting code of length , dimension , and distance encodes -qubit information into ...
									What quantum computers may tell us about quantum mechanics
									
... mechanics. Schrödinger (1935) himself said, “I would not call [entanglement] one but rather the characteristic trait in quantum mechanics, the one that enforces an entire departure from all our classical lines of thought.” Yet entanglement seems to be one of the most misunderstood concepts in quant ...
                        	... mechanics. Schrödinger (1935) himself said, “I would not call [entanglement] one but rather the characteristic trait in quantum mechanics, the one that enforces an entire departure from all our classical lines of thought.” Yet entanglement seems to be one of the most misunderstood concepts in quant ...
									A Hierarchical Approach to Computer-Aided Design of
									
... matrices, until basic directly realizable quantum primitives are reached. This problem is very difficult in such basic formulation and therefore several special methods have been and are being developed, especially in the last 5 years. Probabilistic calculations based on this representation are used ...
                        	... matrices, until basic directly realizable quantum primitives are reached. This problem is very difficult in such basic formulation and therefore several special methods have been and are being developed, especially in the last 5 years. Probabilistic calculations based on this representation are used ...