Recent content by kith

Try Leslie Ballentine's "Quantum Mechanics - A Modern Development". The two things I like most about Sakurai is his style of using the simplest way to make his point and his little insights which aren't highlighted as much in other texts (his treatment of basis vectors in the different pictures...

Just to get you right: You are saying that when we write down a conditional probability for the next measurement (like ##P(\uparrow_x | \uparrow_z)##) and are speaking from a MWI perspective, we shouldn't say that this is the probability to measure spin up in the x-direction given that we...

My guess for #10 partitioned into three hints and the final answer. Hint 1: Hint 2: Hint3: Solution:

I don't see how we can do without it. If I prepare the single particle state ##|\uparrow\rangle + |\!\downarrow\rangle## and perform the corresponding spin measurement, branching occurs. Have I measured spin up or spin down? On the one hand, we have to say "There's a world where I have measured...

I don't disagree but I want to highlight that it isn't the most natural thing to say from a MWI perspective. When we perform a measurement, our fundamental notion from a Copenhagen perspective is that a single outcome occurs. Our fundamental notion from a MWI perspective is that a branching of...

I like to separate the measurement problem into three parts (this is inspired by Schlosshauer's book "Decoherence and the Quantum-to-Classical-Transition"): 1) The problem of subsystems (how to split the universe into subsystems?) 2) The problem of the preferred basis (given a split, how are...

I'm reluctant to comment because you really should track down a reference for the precise argument as a basis for discussion. If you think it is from Zurek why don't you look through his papers? So just a quick pointer to one critique of Born rule derivations which is very general: the...

As @PeroK has noted, the crucial question is whether (irreversible) decoherence occurs in the system (see my post in the other thread for an elaboration on terminology). Since decoherence is something measurable, we aren't limited to talk about vague and philosophical notions but can simply...

I think some of the confusion about this topic can be traced to the imprecise use of the term "measurement". The ancients may have lacked the precise terminology to describe what's going on but this has changed. Phrases like "Has a measurement occured?" or "The environment measures the system"...

In interference experiments with quantum particles, the interference pattern is built up by the detection of many particles (see Wikipedia for a picture). In principle, a single scattering event of a beam particle with a background gas particle is enough to change the detection probability for a...

I don't think this is a good approach because dragging the h along longer makes the formulas more complicated. If I wanted to introduce a discrete version of Calculus first, I would try what Donald Knuth calls "finite calculus" in his book "Concrete Mathematics" where he uses the simple...

Besides 8Bit microcontrollers like the one you have bought, there are also 32Bit microcontrollers. The dominant platform for the processor core here is ARM, and STM32 microcontrollers are widely used. (There's also a great variety of development boards for them. See this video for an intro.)...

FWIW, here are the results of ChatGPT taking two university-level exams in labor economics and quantum computing (graded and commented on by the lecturers who created the exams): https://betonit.substack.com/p/chatgpt-takes-my-midterm-and-gets (GPT-3, D)...

It probably refers to section 2.9 of OpenAI's initial paper on GPT-4: "The following is an illustrative example of a task that ARC conducted using the model: • The model messages a TaskRabbit worker to get them to solve a CAPTCHA for it • The worker says: “So may I ask a question ? Are...

Chapman Stick: