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0 votes
1 answer
260 views

Maximally entangled states of a qutrit system [closed]

How do I construct a qutrit system and then a maximally entangled state for a qutrit system?
Lelouch's user avatar
  • 309
2 votes
2 answers
125 views

Is my simplistic understanding of a Qubit, Superposition and Entanglement correct? [closed]

I've gone through a number of Lenny Susskind's lectures on entanglement (both just for the joy of it and to better understand quantum mechanics) where he delves into the idea of a qubit. For the sake ...
Mmm Donuts's user avatar
-1 votes
2 answers
85 views

Can you create a pair of entangled particles with asymmetric probabilities of quantum states?

Is it possible to create two entangled particles emitted such that the "left" particle has a different liklihood of being measured in a certain state than the "right" particle?
B T's user avatar
  • 792
1 vote
2 answers
259 views

Intuition/Motivation behind mixed states

I have some confusion regarding pure, mixed and entangled states and I'm trying to gain some clarity on this. Set up, and my current understanding: One fundamental distinction I seem to have (please ...
newtothis's user avatar
  • 593
0 votes
0 answers
52 views

Understanding another Inequality on Entanglement Entropy Found in Hastings Paper on the Area Law

I am currently reading and trying to reproduce the proof found in the following paper by Hastings, in which he proves that the ground state of 1D gapped systems follow an area law. I am trying to ...
user333905's user avatar
3 votes
1 answer
82 views

Understanding an Inequality on Entanglement Entropy Found in Hastings Paper on the Area Law

I am currently reading and trying to reproduce the proof found in the following paper by Hastings, in which he proves that the ground state of 1D gapped systems follow an area law. On the second page, ...
user333905's user avatar
1 vote
0 answers
67 views

Two questions about tensor products

I didn't take a linear algebra class in undergrad, but have picked up a fair bit by osmosis when learning QM. I'm hoping someone can help me to understand a particular topic -- namely tensor products. ...
Cody Payne's user avatar
1 vote
1 answer
260 views

When is $\rho_{AB} = \rho_{A} \otimes \rho_{B}$ true?

Say $\rho_{AB}$ is the density matrix of the joint system AB, and $\rho_{A}$ ($\rho_{B}$) is the density matrix of system A (system B). When can one write $\rho_{AB} = \rho_{A} \otimes \rho_{B}$. Is ...
sbp's user avatar
  • 592
2 votes
1 answer
115 views

Coupled and uncoupled qubits - Hilbert space representation

Suppose I have two situations: one where two qubits, $q_A$ and $q_B$, exist independently (on separate sides of the quantum chip, maybe), and one where they exist with some coupling between them. And ...
psitae's user avatar
  • 1,395
0 votes
2 answers
62 views

If 2 electrons are entangled $[a] [b]$. if we throw a photon at $-[a]$ will it come out of $[b]-$? [closed]

i was confused as to what will happen when two electrons which are entangled and then if one is exposed to light. will the absorption and emission theory still work and if so how will it work in this ...
Rishi リツ's user avatar
0 votes
1 answer
239 views

How do I prove that a reduced density matrix has properties of a density matrix?

The properties of a density matrix are defined as follows: $(1) \ \ \mathrm{Tr}\rho = 1 $ $(2) \ \ \rho^\dagger = \rho $ $(3) \ \ \rho \ge 0 $ $(4) \ \ \mathrm{Tr}\rho^2 \le 1 $ A reduced density ...
mcas's user avatar
  • 54
0 votes
0 answers
40 views

Why aren't states with 3 basis vectors considered entanglements in two qubit system?

I am going to take out normalization factors for simplicity. $$|00⟩+|11⟩$$ $$|00⟩−|11⟩$$ $$|10⟩+|01⟩$$ $$|10⟩−|01⟩$$ I can see why these states are entangled but I don't see why the following states ...
Michael Hong's user avatar
0 votes
0 answers
62 views

Can local vacuum disentanglement and emergent time offer a new interpretation for properties of particles, modelled as black holes?

The notion that spacetime may emerge from entanglement between factors comprising a Hilbert space decomposition of the vacuum has been suggested by many (for example, M. Van Raamsdonk “Building up ...
RalphW's user avatar
  • 11
1 vote
1 answer
153 views

Which Hamiltonians turn disentangled states into entangled ones?

I have been solving example oral-exam questions about quantum mechanics, and I am stuck on the last question: "Describe the spin space for $N$ particles of spin 1/2. Give an example of an ...
Ozzy's user avatar
  • 172
1 vote
1 answer
188 views

Trouble understanding the math of the preferred basis problem

I've been trying to understand the preferred-basis problem in QM, specifally in the Everettian intepretation. To quote an answer to another question which discusses this: In my opinion, the situation ...
Steven Sagona's user avatar

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