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Question 1

2votes

1answer

137views

stim : confusion about the use of observables

The role of adding observables is not clear to me. Here are some points of confusion :(1)From the circuit I generate a detector error model using dem from which I generate twomatrices (pcm and lcm) ...

unknown

2,994

askedNov 19 at 15:27

Question 2

1vote

0answers

79views

Preparing a logical state of a stabilizer code in qiskit

I'm using qiskit to study some aspects of a simple error correcting (stabilizer) code. I have a code which works for particular simple examples, but I am struggling to generalize the preparation of ...

miggle

173

askedOct 28 at 12:46

Question 3

1vote

0answers

25views

Transforming from non-additive to stabilizer code

Is there a way to code-switch from non-additive codes to stabilizer codes, such as surface codes?If so, is it always possible or is it only possible in certain cases?

PrimeSoup

33

askedOct 27 at 14:14

Question 4

3votes

1answer

116views

A question about CSS codes

Consider an $[[n, k, d]]$ quantum CSS code with $C^{\perp} \subset C$. If I consider the state,\begin{equation}\frac{1}{\sqrt{|C^{\perp}|}} \sum_{x \in C^{\perp}} |x\rangle;\end{equation}is this a ...

BlackHat18

1,629

askedOct 24 at 4:58

Question 5

1vote

2answers

147views

stim : how to control the structure of detector error model decoder matrix

I'm interfacing stim to my (custom) decoder. My decoder expects a parity check matrix and probabilities; similar to a BP-OSD decoder's input. To go from error detect model to these inputs I use a ...

unknown

2,994

askedOct 8 at 16:19

Question 6

1vote

1answer

72views

Syndrome measurement without ancillas

Consider a three qubit code which corrects for phase-flip errors. Using the pictures from here, the syndromes are measured in the following way (the picture assumes that a phase-flip error happened on ...

BlackHat18

1,629

askedOct 8 at 2:03

Question 7

1vote

1answer

76views

stim : what (else) goes into defining a detector error model

I understand what should go into the model given a syndrome measurement circuit with error sources. What I'm trying to understand what else gets added to it. Some papers add one or two "error ...

unknown

2,994

askedOct 7 at 17:58

Question 8

4votes

0answers

48views

for bivariate bicycle codes, is there a way to calculate the logicals directly

I'm working with bivariate bicycle codes; I can calculate the logicals using generic methods (null spaces related to $H_x$ and $H_z$) but I think there should be a way to calculate these directly from ...

unknown

2,994

askedOct 7 at 16:23

Question 9

4votes

0answers

105views

Is the 5 qutrit code unique?

It is well known (see corollary 10 of Quantum Codes Of Minimum Distance Two by Eric Rains) that every $ d=3 $ encoding of a logical qubit into 5 physical qubits is equivalent by non-entangling gates ...

Ian Gershon Teixeira

5,498

askedSep 30 at 20:45

Question 10

0votes

1answer

55views

Rotated Surface Code Weight-2 Boundary Error

Consider the above rotated surface code. If we assume the blue stabilizers are X-type (i.e. they detect Z-errors), then if the two qubits which are circled in red undergo Z-flips, the syndrome will ...

Arya K

41

askedSep 30 at 17:57

Question 11

3votes

1answer

120views

can re-encoding help lower logical error rate

For simplicity, assume the code is a CSS code and we're working with X stabilizers (Hx) and logicals (Lx).To estimate the logical error rate of this code, here are the steps I see taken by open ...

unknown

2,994

askedSep 11 at 18:37

Question 12

3votes

2answers

261views

LSD decomposition of Pauli error

Consider a $[[n, k, d]]$ stabilizer code $C$ and an $n$ qubit Pauli error.Let $\mathcal{E}$ have syndrome $s$ with respect to the code $C$. Then, $\mathcal{E}$ (and, in fact, any $n$ qubit Pauli ...

BlackHat18

1,629

askedSep 8 at 4:34

Question 13

1vote

1answer

74views

Projector onto stabilizer subspace using destabilizers

Consider an $[n, k, d]$ stabilizer code $C$.Say I want to compute the probability of getting syndrome $s$ when measuring the $n$ qubit noisy code-state $\tilde{\rho}$ (I am fine with a destructive ...

BlackHat18

1,629

askedSep 8 at 3:04

Question 14

0votes

2answers

109views

Syndrome extraction without ancillas

Consider the following picture from John Watrous's lecture notes:I have a few conceptual questions about this. Say $|\psi\rangle $ is an $n$-qubit codeword of a CSS code, where some $X$ type error ...

BlackHat18

1,629

askedSep 5 at 7:23

Question 15

2votes

2answers

193views

Question about syndromes

Let $\mathsf{C}$ be a $[n, k, d]$ stabilizer the code state of a code that corrects phase (ie, $\mathsf{Z}$ type) errors. Consider preparing the logical $|0\rangle$ state corresponding to $\mathsf{C}$....

BlackHat18

1,629

askedSep 4 at 5:54

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Questions tagged [stabilizer-code]

stim : confusion about the use of observables

Preparing a logical state of a stabilizer code in qiskit

Transforming from non-additive to stabilizer code

A question about CSS codes

stim : how to control the structure of detector error model decoder matrix

Syndrome measurement without ancillas

stim : what (else) goes into defining a detector error model

for bivariate bicycle codes, is there a way to calculate the logicals directly

Is the 5 qutrit code unique?

Rotated Surface Code Weight-2 Boundary Error

can re-encoding help lower logical error rate

LSD decomposition of Pauli error

Projector onto stabilizer subspace using destabilizers

Syndrome extraction without ancillas

Question about syndromes

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