Qubits and Quantum Spaces
نویسنده
چکیده
We consider the quantum computational process as viewed by an insider observer: this is equivalent to an isomorphism between the quantum computer and and a quantum space, namely the fuzzy sphere. The result is the formulation of a reversible quantum measurement scheme, with no hidden information.
منابع مشابه
حفظ و مقایسه درهم‌تنیدگی، ناسازگاری و همدوسی کوانتومی بین کیوبیت‌های متحرک در کاواک‌های نشت کننده
In this study, we consider a composed system consisting of two identical non-interacting subsystems. Each sub-system is made of a moving qubit into a leaky cavity. The study of the dynamic of the composed system revealed that compared with the stationary qubits, entanglement, quantum discord and coherence between two moving qubits remained close to their initial values as time went by. In parti...
متن کاملSuper operator Technique in Investigation of the Dynamics of a Two Non-Interacting Qubit System Coupled to a Thermal Reservoir
In this paper, we clarify the applicability of the super operator technique for describing the dissipative quantum dynamics of a system consists of two qubits coupled with a thermal bath at finite temperature. By using super operator technique, we solve the master equation and find the matrix elements of the density operator. Considering the qubits to be initially prepared in a general mixed st...
متن کاملConcentration of measure effects in quantum information
Most applications of quantum information require many qubits, which means that they must be described using state spaces of very high dimension. The geometry of such spaces is invariably simple but often surprising. Subspaces, in particular, can be interpreted as quantum error correcting codes and, when the dimension is high enough, random subspaces form remarkably good codes. This is because i...
متن کاملImitating quantum mechanics: Qubit-based model for simulation
We present an approach to simulating quantum computation based on a classical model that directly imitates discrete quantum systems. Qubits are represented as harmonic functions in a two-dimensional vector space. Multiplication of qubit representations of different frequencies results in exponential growth of the state space similar to the tensor-product composition of qubit spaces in quantum m...
متن کاملError Correction with Euclidean Qubits
In classical case there is simplest method of error correction with using three equal bits instead of one. In the paper is shown, how the scheme fails for quantum error correction with complex vector spaces of usual quantum mechanics, but works in real and quaternionic cases. It is discussed also, how to implement the three qubits scheme with using encoding of quaternionic qubit by Majorana spi...
متن کاملViolations of local realism by two entangled N-dimensional systems are stronger than for two qubits
Tests of local realism versus quantum mechanics based on Bell's inequality employ two entangled qubits. We investigate the general case of two entangled quantum systems defined in N-dimensional Hilbert spaces, or " quNits." Via a numerical linear optimization method we show that violations of local realism are stronger for two maximally entangled quNits ( 3</=N</=9) than for two qubits and that...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004