Collapsing a Perfect Superposition to a Chosen Quantum State without Measurement
نویسندگان
چکیده
Given a perfect superposition of [Formula: see text] states on a quantum system of [Formula: see text] qubits. We propose a fast quantum algorithm for collapsing the perfect superposition to a chosen quantum state [Formula: see text] without applying any measurements. The basic idea is to use a phase destruction mechanism. Two operators are used, the first operator applies a phase shift and a temporary entanglement to mark [Formula: see text] in the superposition, and the second operator applies selective phase shifts on the states in the superposition according to their Hamming distance with [Formula: see text]. The generated state can be used as an excellent input state for testing quantum memories and linear optics quantum computers. We make no assumptions about the used operators and applied quantum gates, but our result implies that for this purpose the number of qubits in the quantum register offers no advantage, in principle, over the obvious measurement-based feedback protocol.
منابع مشابه
Interpretations of the Quantum Theory and NP-Complete Problems
In this paper, we show that the satis ability problem (SAT, for short) can be solved by a quantum Turing machine in O(2 n 4 ) time under an assumption that a superposed physical states can be observed without collapsing the superposition, where n is the total length of the description of an input logical formula f and the description of the number of variables in f . Furthermore, we show that a...
متن کاملA new interpretation of superposition, entanglement, and measurement in quantum mechanics
We present a new interpretation of the terms superposition, entanglement, and measurement that appear in quantum mechanics. We hypothesize that the structure of the wave function for a quantum system at the sub-Planck scale has a deterministic cyclic structure. Each cycle comprises a sequential succession of the eigenstates that comprise a given wave function. Between unitary operations or meas...
متن کامل1 Non - Newtonian AI for solving NP - complete problems
A new kind of dynamics for simulations based upon quantum-classical hybrid is discussed. The model is represented by a modified Madelung equation in which the quantum potential is replaced by different, specially chosen potentials. As a result, the dynamics attains both quantum and classical properties: it preserves superposition and entanglement of random solutions, while allowing one to measu...
متن کاملQuantum Bootstrap Aggregation
We set out a strategy for quantizing attribute bootstrap aggregation to enable variance-resilient quantum machine learning. To do so, we utilise the linear decomposability of decision boundary parameters in the Rebentrost et al. Support Vector Machine to guarantee that stochastic measurement of the output quantum state will give rise to an ensemble decision without destroying the superposition ...
متن کاملA Nonlinear Unitary Framework for Quantum State Reduction: a phenomenological approach
A nonlinear self-adjoint operator on a two-dimensional Hilbert space is constructed to force a quantum state, composed of two orthogonal states through linear superposition, into one of these two alternatives (reduction). Associated with this is a bifurcation-process of a collapsing statevector at the site of two detectors: since there are no discernible experiments for nonunitary schemes of qu...
متن کامل