oquen said:When you cut an object with a knife.. say a sausage. Does it's Hilbert Space or Quantum State split into two too? Or is it like in a holographic film.. in which even after cutting it, all the original image is in each of the cut portion?
A Hilbert space is a mathematical abstraction, not any sort of physical space that can be cut and divided. Objects don't "have" or occupy Hilbert spaces, and there is no correspondence between the parts of an object and the elements of the Hilbert space we're using in our computations.oquen said:When you cut an object with a knife.. say a sausage. Does it's Hilbert Space or Quantum State split into two too? Or is it like in a holographic film.. in which even after cutting it, all the original image is in each of the cut portion?
Hilbert Space is a mathematical concept that refers to a vector space with an infinite number of dimensions. It is often used in quantum mechanics to describe the state of a quantum system.
Hilbert Space can be sliced in various ways, depending on the specific application. One common method is to use a set of orthogonal basis vectors, which divide the space into smaller subspaces.
Slicing thru Hilbert Space allows us to better understand and analyze complex systems, particularly in quantum mechanics. It can also help us find solutions to difficult problems by breaking them down into smaller, more manageable parts.
No, Hilbert Space cannot be visualized in the traditional sense because it has an infinite number of dimensions. However, we can use mathematical models and representations to help us understand its properties and behaviors.
Yes, slicing thru Hilbert Space has various real-world applications, including in quantum computing, signal processing, and data analysis. It is also used in fields such as engineering, economics, and statistics.